Updated on 2024/11/29

Information

 

写真a

 
HIROSHIMA FUMIO
 
Organization
Faculty of Mathematics Division of Analysis Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Joint Graduate School of Mathematics for Innovation (Concurrent)
Title
Professor
Profile
We study spectral analysis of operators on infinite dimensional spaces. In particular, We analyze the spectral analysis of quantum field theory on pseudo-Riemannian manifolds from a mathematical standpoint, using operator theory, the theory of semigroups, stochastic analysis, and functional and path integrals. The Hamiltonian appearing in quantum field theory can be regarded mathematically as a self-adjoint operator on a Hilbert space. The spectrum of the self-adjoint operator is analyzed in a non-perturbative and abstract way. Specifically, our goals are to evaluate the existence or absence of the ground state of the Hamiltonian, to analyze IR and UV divergences, spectral scattering theory, resonance, renormalization theory, Gibbs measure, and so on. Recently, We have also studied the representation theory of CCR and lattice Schrödinger operators. The keywords are Feynman-Kac formula, quantum field theory, Gibbs measure, renormalization, spectral analysis, Schrödinger operator, boson-Fock space, infinite-dimensional Ornstein-Uhlenbeck process, exponential decay property, Gaussian decay property, UV divergence, IR divergence, existence and absence of ground states, semigroups, noncommutative Perron-Frobenius theorem, Kato potential, Bernstein function, Pauli-Fierz model, Nelson model, spin-boson model, noncommutative harmonic oscillator (NCHO), Rabi model, spectral zeta function, time operator, CCR, Laplacian on a lattice, semi-classical analysis.

Degree

  • Doctor of science

Research History

  • 1997年9月-1998年2月,Rule大学,ポスドク 1998年3月-1999年2月,Bonn大学,ポスドク 1999年3月-2000年2月,Munchen工科大学,ポスドク 2000年4月-2005年3月,大阪工大摂南大学工学部,助教授   

Research Interests・Research Keywords

  • Research theme: semiclassical analysis

    Keyword: Wigner measure, Pauli-Fierz model

    Research period: 2019.5 - 2022.12

  • Research theme: Spectral zeta functions

    Keyword: Rabi model, non-commutative harmonic oscillator

    Research period: 2013.4

  • Research theme: Schrodinger operator on lattice

    Keyword: lattice, spectrum

    Research period: 2012.4

  • Research theme: Time operators and CCR representations

    Keyword: time operator, CCR

    Research period: 2009.4

  • Research theme: Feynman-Kac formula and related topics

    Keyword: Schroedinger operator, relativistic Schroedinger operator, Schroedinger operator with spin, relativistic Schroedinger operator with spin, PF model, Nelson model, spin-boson model

    Research period: 2006.4

  • Research theme: Gibbs measure and localizations

    Keyword: Gibbs measure, ground states, UV renormalization, exponential decay

    Research period: 2000.4

  • Research theme: Spectral analysis of QFT

    Keyword: quantum field theory, Fock space, embedded eigenvalues, ground states, scattering theory, pseudo Riemann manifold, resonances, renormalization group, functional integrations, Gibbs measures

    Research period: 1993.4

Awards

  • 解析学賞

    2019.9   日本数学会   MSJ 2019 Analysis prize

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    廣島文生氏は1990年代より一貫してHilbert空間上の自己共役作用素の解析を基礎とした数学的場の量子論の研究を行い,数多くの業績を挙げてきた.特に近年,Wiener-Itô-Segal同型および汎関数積分・確率解析を援用して量子場を解析する手法を発展させ,従来の摂動論的手法では解析が困難だった多くの問題に対して非摂動論的な手法による解決を与えた.最近5年間の顕著な業績としては,汎関数積分を用いたNelson模型における紫外発散のくり込み(Massimiliano Gubinelli氏,József Lőrinczi氏との共同研究),Semi-relativistic Pauli-Fierz模型の自己共役性や基底状態の減衰性の証明,Spin-boson模型におけるGibbs測度の構成およびそれを用いた基底状態の存在・一意性・局所性の証明(廣川真男氏,József Lőrinczi氏との共同研究)などが挙げられる.いずれの結果も業界内で高い評価を得ているが,特に初めの結果はEdward Nelsonが1960年代の論文で未解決だった問題に解決を与えたものである.
    廣島氏の手法の特徴は,半群の汎関数積分表示に基礎をおき,模型に付随するGibbs測度の確率積分表示を用いて解析を行う点である.この手法では従来の摂動級数を用いた方法に見られるような“coupling constantが小さい”という仮定を必要とせず,従来よりも広いパラメータ領域での解析が可能となる.また,Nelson模型のくり込みでは元のハミルトニアンから引くべき対数発散項がpair interactionの対角項から自然に導かれる,という利点もある.特に,廣島氏の行ったcàdlàgパス空間と呼ばれる不連続パス空間上のGibbs測度の構成は,一つのブレイクスルーとなり,これを用いて様々な模型の基底状態を解析する方法が切り開かれた.また,廣島氏の手法は場の量子論に留まらず,近年若山正人氏らにより研究されている非可換調和振動子の最小固有値の重複度の問題にも応用されている(佐々木格氏との共同研究).こういった一連の手法は廣島氏とJózsef Lőrinczi氏,Volker Betz氏との共著による500ページ以上の著書においてSelf-containedな形で解説されており,今後のこの分野の発展に大きく寄与することが期待されている.これらの業績は,解析学賞の授与にふさわしいものである.

Papers

  • Representations of Pauli-Fierz type models by path measures Invited Reviewed International journal

    Fumio Hiroshima

    Proceedings of the workshop "Mathematical Physics and its Interactions"   2024.5

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Time operators of harmonic oscillator and its representations Reviewed International journal

    F.Hiroshima and N.Teranishi

    J. Math. Phys..   65 ( 4 )   2024.1   ISSN:0022-2488 eISSN:1089-7658

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Journal of Mathematical Physics  

    1次元調和振動子に対する時間作用素の解析を行なった。ポイントは1次元調和振動子が離散スペクトルしか持たないことである。

    DOI: 10.1063/5.0201982

    Web of Science

    Scopus

  • From the quantum to the classical electrodynamics of charges and fields Reviewed International journal

    Z.Ammari, M.Falconi and F.Hiroshima

    Annales de l'institut Fourier   2023.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    The purpose of this article is twofold:
    1) On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr correspondence principle of quantum mechanics.
    2) On the other hand, we establish the global well-posedness of the Newton--Maxwell system on energy-spaces under weak assumptions on the charge distribution.

    Both results improve the state of the art, and are obtained by incorporating semiclassical and measure theoretical techniques. One of the novelties is the use of quantum propagation properties in order to build global solutions of the Newton--Maxwell equation.

  • Threshold of discrete Schroedinger operators with delta potentials on n-dimensional lattice Reviewed International journal

    F. Hiroshima, Z. Muminov and U. Kuljanov

    Linear and Multilinear Algebra   2022.5

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: https://hdl.handle.net/2324/7177941

  • Ground states and their associated Gibbs measures in the renormalized nelson model Reviewed International journal

    F.Hiroshima and O.Matte

    Rev. Math.Phys.   34 ( 2 )   2022.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1142/S0129055X22500027

    Repository Public URL: https://hdl.handle.net/2324/7173523

  • Spectrum of semi-relativistic Pauli-Fierz Hamiltonian II Reviewed International journal

    F.Hiroshima, T.Hidaka and I.Sasaki

    J. Spectral Theory   11   1179 - 1830   2021.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: DOI 10.4171/JST/386

    Repository Public URL: https://hdl.handle.net/2324/7177964

  • Ultra-weak time operators of Schroedinger operators Reviewed International journal

    F.Hiroshima, A.Arai

    Ann. Henri Poincare   18   2995 - 3033   2017.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: https://hdl.handle.net/2324/7177967

  • Kato's inequality for magnetic relativistic Schroedinger operators Reviewed International journal

    F.Hiroshima, T.Ichinose, J.Lorinczi

    Publ RIMS Kyoto.   53   79 - 117   2016.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: https://hdl.handle.net/2324/7177968

  • Enhanced binding of an N-particle system interacting with a scalar field II. Relativistic version Reviewed International journal

    Fumio Hiroshima, Itaru Sasaki

    Publ RIMS Kyoto   51   655 - 690   2015.2

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Spin-boson model through a Poisson-driven stochastic process Reviewed International journal

    Fumio Hiroshima, Masao Hirokawa, Lozsef Lorinczi

    Math Z   277   1165 - 1198   2014.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: https://hdl.handle.net/2324/7177965

  • Ultraviolet renormalization of the Nelson Hamiltonian through functional integration Reviewed International journal

    F.Hiroshima, M.Gubinelli, J.Lorinczi

    J.Funct.Anal.   267   3125 - 3153   2014.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Functional integral approach of semi-relativistic Pauli-Fierz models Reviewed International journal

    Fumio Hiroshima

    Advances in Mathematics   269   784 - 840   2014.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: https://hdl.handle.net/2324/7177971

  • Absence of ground state of the Nelson model with a variable mass Reviewed International journal

    C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

    J. Funct. Anal.   262 ( 1 )   2012.1

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Infrared problem for the Nelson model with variable coefficients Reviewed International journal

    C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

    Communications in Mathematical Physics   308 ( 2 )   2011.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Physical State for nonrelativistic quantum electrodynamics Reviewed International journal

    F. Hiroshima and A. Suzuki

    Ann. Henri Poincare   10   2009.5

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Enhanced binding of an $N$ particle system interacting with a scalar field I Reviewed International journal

    Fumio Hiroshima and Itaru Sasaki

    Math. Z.   2008.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    Enhanced binding of an $N$ particle system interacting with a scalar field I

  • Functional integral representations of nonrelativistic quantum electrodynamics with spin 1/2 Reviewed International journal

    Fumio Hiroshima and Jozsef Lorinczi

    J. Funct. Anal.   2008.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    Functional integral representations of nonrelativistic quantum electrodynamics with spin 1/2

  • Fiber Hamiltonians in nonrelativistic quantum electrodynamics Reviewed International journal

    Fumio Hiroshima

    J. Funct. Anal.   2007.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    Fiber Hamiltonians in nonrelativistic quantum electrodynamics

  • Ground state for point particle interacting through a massless scalar Bose field Reviewed International journal

    Masao Hirokawa, Fumio Hiroshima and Herbert Spohn

    Adv. in Math.   2005.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Ground state for point particle interacting through a massless scalar Bose
    field

  • Multiplicity of ground states in quantum field models:applications of aymptotic fields Reviewed International journal

    Fumio Hiroshima

    J. Funct. Anal.   224 ( 2 )   431 - 470   2005.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Multiplicity of ground states in quantum field models:applications of aymptotic fields

    DOI: 10.1016/j.jfa.2005.03.004

  • Enhanced binding through coupling to a quantum field Reviewed International journal

    Fumio Hiroshima and Herbert Spohn

    Ann. Henri Poincare   2001.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Enhanced binding through coupling to a quantum field

  • Ground states and spectrum of quantum electrodynamics of non-relativistic particles Reviewed International journal

    Fumio Hiroshima

    Trans. Amer. Math. Soc.   2001.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Ground states and spectrum of quantum electrodynamics of non-relativistic particles,

  • Essential self-adjointness of translation-invariant quantum field models for arbitrary coupling constants Reviewed International journal

    Fumio Hiroshima

    Commun. Math. Phys.   2000.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Essential self-adjointness of translation-invariant quantum field models for
    arbitrary coupling constants

  • On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff Reviewed International journal

    Asao Arai, Masao Hirokawa and Fumio Hiroshima

    J. Funct. Anal.   1999.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff

  • Representations of Pauli–Fierz Type Models by Path Measures

    Hiroshima F.

    Springer Proceedings in Mathematics and Statistics   451   283 - 410   2024   ISSN:21941009 ISBN:9789819703630

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    Publisher:Springer Proceedings in Mathematics and Statistics  

    Functional integral representations of the semigroups generated by Pauli–Fierz type Hamiltonians in quantum field theory are reviewed. Firstly we introduce functional integral representations for Schrödinger type operators. Secondly those for Pauli–Fierz type Hamiltonians are shown. Finally inequalities derived from functional integral representations are shown.

    DOI: 10.1007/978-981-97-0364-7_10

    Scopus

  • 場の量子論における正値性 --シュレディンガー表現とフォック表現-- (関数空間論とその周辺)

    Hiroshima Fumio

    RIMS Kokyuroku   2260   137 - 150   2023.7   ISSN:18802818

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    Language:Japanese   Publisher:京都大学数理解析研究所  

    ネルソン模型𝘏([12])は場の理論の典型的な模型の一つである. ポテンシャルがV=0のとき, 𝘏は全運動量作用素と可換になり, 𝘏=∫〓𝘏(𝘗)𝘥𝘗と直和分解される. 全運動量𝘗∈ℝᵈをパラメターとする並行移動不変ネルソン模型𝘏(𝘗)から生成される熱半群ₑ⁻ᵀᴴ⁽ᴾ⁾が𝘍≥0, 𝘎≥0に対して(𝘍, ₑ⁻ᵀᴴ⁽ᴾ⁾𝘎)〓0となるとき正値改良型作用素という. フォック表現のファインマン・ カッツ公式を使って, ₑ⁻ᵀᴴ⁽ᴾ⁾の正値改良性を示す.

    CiNii Research

  • SEMI-CLASSICAL LIMITS FOR THE NELSON MODEL (Mathematical aspects of quantum fields and related topics)

    Ammari Zied, Falconi Marco, Hiroshima Fumio

    RIMS Kokyuroku   2235   45 - 59   2022.12   ISSN:18802818

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    Language:English   Publisher:京都大学数理解析研究所  

    CiNii Research

  • Threshold of discrete Schrodinger operators with delta potentials on <i>n</i>-dimensional lattice

    Hiroshima, F; Muminov, Z; Kuljanov, U

    LINEAR & MULTILINEAR ALGEBRA   70 ( 5 )   919 - 954   2022.3   ISSN:0308-1087 eISSN:1563-5139

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    Publisher:Linear and Multilinear Algebra  

    Eigenvalue behaviours of Schrödinger operator defined on n-dimensional lattice with n + 1 delta potentials are studied. It can be shown that lower threshold eigenvalue and lower threshold resonance appear for (Formula presented.), and lower super-threshold resonance appears for n = 1.

    DOI: 10.1080/03081087.2020.1750547

    Web of Science

    Scopus

  • Ground states and associated path measures in the renormalized Nelson model

    Hiroshima, F; Matte, O

    REVIEWS IN MATHEMATICAL PHYSICS   34 ( 02 )   2022.3   ISSN:0129-055X eISSN:1793-6659

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    Publisher:Reviews in Mathematical Physics  

    We prove the existence, uniqueness, and strict positivity of ground states of the possibly massless renormalized Nelson operator under an infrared regularity condition and for Kato decomposable electrostatic potentials fulfilling a binding condition. If the infrared regularity condition is violated, then we show non-existence of ground states of the massless renormalized Nelson operator with an arbitrary Kato decomposable potential. Furthermore, we prove the existence, uniqueness, and strict positivity of ground states of the massless renormalized Nelson operator in a non-Fock representation where the infrared condition is unnecessary. Exponential and superexponential estimates on the pointwise spatial decay and the decay with respect to the boson number for elements of spectral subspaces below localization thresholds are provided. Moreover, some continuity properties of ground state eigenvectors are discussed. Byproducts of our analysis are a hypercontractivity bound for the semigroup and a new remark on Nelson's operator theoretic renormalization procedure. Finally, we construct path measures associated with ground states of the renormalized Nelson operator. Their analysis entails improved boson number decay estimates for ground state eigenvectors, as well as upper and lower bounds on the Gaussian localization with respect to the field variables in the ground state. As our results on uniqueness, positivity, and path measures exploit the ergodicity of the semigroup, we restrict our attention to one matter particle. All results are non-perturbative.

    DOI: 10.1142/S0129055X22500027

    Web of Science

    Scopus

  • Time operators associated with harmonic oscillators

    Hiroshima Fumio

    IMIレクチャーノート   92   53 - 65   2022

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  • Functional central limit theorem and P(phi)_1-process in quantum field theory Reviewed International journal

    S. Gheryani, F.Hiroshima, J.Lorinczi, A.Majid and H.Ouerdiane

    Mathematical Physics, Analysis and Geometry   23   2020.5

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Point-wise exponential decay of bound states of the Nelson model with Kato-class potentials Invited Reviewed International journal

    Fumio Hiroshima

    ANALYSIS AND OPERATOR THEORY - In Honor of Tosio Kato's 100 th Birthday -   225 - 250   2019.5

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Spectrum of the semi-relativistic Pauli-Fierz model I Reviewed International journal

    Fumio Hiroshima, Takeru Hidaka

    J.Math.Anal.Appl.   437   330 - 349   2016.4

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    Relativistic PF model is studied in the non-perturbative way.

    Repository Public URL: https://hdl.handle.net/2324/7177969

  • Self-adjointness of semi-relativistic Pauli-Fierz Hamiltonian Reviewed International journal

    Fumio Hiroshima, Takeru Hidaka

    Rev.Math.Phys.   27   2015.4

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    Repository Public URL: https://hdl.handle.net/2324/7177970

  • Note on ultraviolet renormalization and ground state energy of the Nelson mode Invited Reviewed International journal

    F.Hiroshima

    preprint   2015.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Translation invariant models in QFT without ultraviolet cutoffs Invited Reviewed International journal

    F.Hiroshima

    preprint   2015.4

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Absence of energy level crossing for the ground state energy of the Rabi model Reviewed International journal

    Fumio Hiroshima, Masao Hirokawa

    Communications in Stochastic Analysis   9   551 - 560   2014.7

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  • The Spectrum of non-local discrete Schroedinger operators with a delta-potential Reviewed International journal

    Fumio Hiroshima, Jozsef Lorinczi

    Pacific J. Math-for-Industry   6   2014.4

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    Pacific J. Math-for-Industry 6 (2014), 6pages [pdf]

  • Spectral analysis of non-commutative harmonic oscillators:the lowest eigenvalue and no crossing Reviewed International journal

    Fumio Hiroshima, Itaru Sasaki

    J. Math. Anal and Apple.   45   595 - 609   2014.4

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  • Multiplicity of the lowest eigenvalues of non-commutative harmonic oscillators Reviewed International journal

    Fumio Hiroshima and Itaru Sasaki

    Kyushu J. Math   67   355 - 366   2013.1

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  • Probabilistic representation and fall-off of bound states of relativistic Schrodinger operators with spin 1/2 Reviewed International journal

    F. Hiroshima, T. Ichinose and J. Lorinczi

    Publ RIMS Kyoto   49   189 - 214   2013.1

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  • Note on the spectrum of discrete Schroedinger operators Reviewed International journal

    Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai and Akito Suzuki

    Journal of Math for Industry   4   2012.10

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  • Lieb-Thirring bound for Schroedinger operators with Bernstein function of the Laplacian Reviewed International journal

    Fumio Hiroshima and Jozsef Lorinczi

    Commun. on Stochastic Anal.   6   589 - 602   2012.10

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  • Enhanced binding in quantum field theory

    Fumio Hiroshima, Itaru Sasaki, Herbert Spohn and Akito Suzuki

    COE Lecture Note (Kyushu University)   38   2012.3

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    Language:English  

  • Removal of the UV cutoff for the Nelson model with variable coefficients Reviewed International journal

    C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

    Lett Math Phys   101   2012.3

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Feynman-Kac-Type Theorems and Gibbs Measures on Path Space. With Applications into Rigorous Quantum Field Theory

    V.Betz, F.Hiroshima and J. Lorinczi

    de Gruyter Studies in Mathematics   2011.7

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    Language:English  

    Feynman-Kac-Type Theorems and Gibbs Measures on Path Space. With Applications into Rigorous Quantum Field Theory

  • The no-enhanced regime of the Pauli-Fierz model Reviewed International journal

    Fumio Hiroshima, Herbert Spohn and Akito Suzuki

    J. Math. Phys.   52   2011.2

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  • Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime Reviewed International journal

    C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

    RIMS Kokyuroku Bessatsu   21   2010.12

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  • On the ionaization energy of semi-relativistic Pauli-Fierz model for a single particle Reviewed International journal

    Fumio Hiroshima and Itaru Sasaki

    RIMS Kokyuroku Bessatsu   21   2010.12

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  • Pauli-Fierz model with Kato-class potentials and exponetial decays Reviewed International journal

    Takeru Hidaka and Fumio Hiroshima

    Rev. Math. Phys.   22   2010.4

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  • Self-adjoint extensions of momentum operators:application of weak Weyl relations Reviewed International journal

    Fumio Hiroshima, Sotaro Kuribayashi and Itaru Sasaki

    J. Math-for-Industry   2010.4

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  • Path integral representation for generalized Schrodinger operators with Bernstein function of the Laplacian Reviewed International journal

    F. Hiroshima, T. Ichinose and J. Lorinczi

    Rev Math Phys   24   2009.3

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  • Gibbs measures with double stochastic integrals on path space Reviewed International journal

    Fumio Hiroshima and Volker Betz

    Infinite Dimensional Analysis and Quantum Probability.   12   2009.3

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    Gibbs measures with double stochastic integrals on path space

  • Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Invited Reviewed International journal

    C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

    Interdisplinary Information Science   15   2009.3

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  • Strong time operators associated with generalized Hamiltonians Reviewed International journal

    Fumio Hiroshima, Yasumichi Matsuzawa, Sotaro Kuribayashi

    Lett Math Phys   2009.1

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  • Perturbation of embedded eigenvalues in quantum field theory International journal

    Fumio Hiroshima

    Sugaku Exp.   2008.12

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    Perturbation of embedded eigenvalues in quantum field theory

  • Regularites of ground states of quantum field models Invited Reviewed International journal

    Asao Arai, Masao Hirokawa and Fumio Hiroshima

    Kyushu J. Math.   2007.10

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    Regularites of ground states of quantum field models

  • Mass renormalization in non-relativistic QED with spin 1/2 Reviewed International journal

    Fumio Hiroshima and KR Ito

    Rev. Math. Phys.   2007.5

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  • Mass renormalization in nonrelativistic QED Reviewed International journal

    Fumio Hiroshima and Herbert Spohn

    J. Math. Phys.   2005.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    Mass renormalization in nonrelativistic QED

  • Local exponent and infinitesimal generators of proper canonical  transformations on a Boson Fock space Reviewed International journal

    Fumio Hiroshima and K.R. Ito

    Infinite Dimensional Analysis, Quantum Probaility and Related Topics   2004.10

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    Local exponent and infinitesimal generators of proper canonical
    transformations on a Boson Fock space

  • Analysis of ground states of atoms interacting with a quantized radiation field International journal

    Fumio Hiroshima

    Topics in the theory of Schrodinger operators   2004.1

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    Analysis of ground states of atoms interacting with a quantized radiation field

  • Localization of the number of photons of nonrelativistic QED Reviewed International journal

    Fumio Hiroshima

    Rev. Math. Phys.   2003.1

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    Localization of the number of photons of nonrelativistic QED

  • Nonrelativistic QED at large momentum of photons International journal

    Fumio Hiroshima

    Garden of Quanta   2003.1

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    Nonrelativistic QED at large momentum of photons

  • Embedded eigenvalues, localization and asymptotics of quantum field models: a functional integral approach Reviewed International journal

    Fumio Hiroshima

    J. Phys. A: Math. Gen.   2002.4

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    Embedded eigenvalues, localization and asymptotics of quantum field models: a functional integral approach,

  • Observable effect and parametrized scaling limits of a model in nonrelativistic quantum electrodynamics Reviewed International journal

    Fumio Hiroshima

    J. Math. Phys.   2002.1

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    Observable effect and parametrized scaling limits of a model in nonrelativistic quantum electrodynamics

  • Ground state properties of the Nelson Hamiltonian-A Gibbs measure-based approach Reviewed International journal

    Volker Betz, Fumio Hiroshima, Jozsef Lorinczi Herbert Spohn and Robert Minlos

    Rev. Math. Phys.   2002.1

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    Ground state properties of the Nelson Hamiltonian-A Gibbs measure-based approach

  • Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants Reviewed International journal

    Fumio Hiroshima

    Ann. Henri Poincare   2002.1

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    Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants,

  • Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin Reviewed International journal

    Fumio Hiroshima and Herbert Spohn

    Adcvances in Theoretical and hematical Physics   2001.1

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    Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

  • Euclidean Gell-Mann-Low formula and double stochastic integrals Reviewed International journal

    Fumio Hiroshima

    Canadaian Math. Soc., Stochastic Processes, Physics and Geometry: New Interplays   2000.10

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    Euclidean Gell-Mann-Low formula and double stochastic integrals

  • Ground states of a model in nonrelativistic quantum electrodynamics II Reviewed International journal

    Fumio Hiroshima

    J. Math. Phys.   2000.1

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  • Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a quantized scalar field Reviewed International journal

    Fumio Hiroshima

    J. Math. Phys.   1999.1

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    Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a quantized scalar field

  • Ground states of a model in nonrelativistic quantum electrodynamics I Reviewed International journal

    Fumio Hiroshima

    J. Math. Phys   1999.1

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  • Weak coupling limit and a removal of an ultraviolet cutoff and a Hamiltonian of particles interacting with a massive scalar field Reviewed International journal

    Fumio Hiroshima

    Inf. Dim. Anal. and Quntum Prob. Relat. Top.   1   1998.9

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  • Functional integral representation of a model in quantum electrodynamics Invited Reviewed International journal

    Fumio Hiroshima

    Rev. Math. Phys.   9   1997.9

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  • Scaling limit of a model of quantum electrodynamics with many nonrelativistic particles Reviewed International journal

    Fumio Hiroshima

    Rev. Math. Phys.   9   1997.9

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  • Asymptotic behaviors of an interaction Hamiltonian Reviewed International journal

    Fumio Hiroshima

    Nonlinear Analysis   30   1997.9

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  • Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field Reviewed International journal

    Fumio Hiroshima

    Rev. Math. Phys.   8   1996.9

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  • Scaling limit of a model in quantum electrodynamics Reviewed International journal

    Fumio Hiroshima

    J. Math. Phys.   34   1993.9

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▼display all

Books

  • 大数学者 フォン・ノイマン3

    廣島文生(Role:Sole author)

    現代数学社  2021.8 

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    Language:Japanese   Book type:General book, introductory book for general audience

  • 大数学者 フォン・ノイマン2

    廣島文生(Role:Sole author)

    現代数学社  2021.6 

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    Language:Japanese   Book type:General book, introductory book for general audience

  • 大数学者 フォン・ノイマン 1

    廣島文生(Role:Sole author)

    現代数学社  2021.4 

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    Responsible for pages:第1巻   Language:Japanese   Book type:General book, introductory book for general audience

  • Feynman-Kac-Type Theorems and Gibbs Measures on Path Space, Applications in Rigorous Quantum Field Theory

    F.Hiroshima and J. Lorinczi(Role:Joint author)

    Walter de Gruyter  2020.3 

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    Responsible for pages:536pages   Language:English   Book type:Scholarly book

  • Feynman-Kac-Type Theorems and Gibbs Measures on Path Space, Feynman-Kac-Type Formulae and Gibbs Measures

    J. Lorinczi, F.Hiroshima and V. Betz(Role:Joint author)

    Walter de Gruyter  2020.3 

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    Responsible for pages:567pages   Language:English   Book type:Scholarly book

  • Ground States of Quantum Field Models

    Fumio Hiroshima(Role:Sole author)

    Springer  2019.10 

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    Responsible for pages:140pages   Language:English   Book type:Scholarly book

  • 量子場の数理

    廣島 文生, 河東泰之, 原 隆, 新井朝雄(Role:Joint author)

    数学書房  2016.7 

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    Language:Japanese   Book type:General book, introductory book for general audience

  • Feynman-Kac type theorems and Gibbs measures on path space. With applications into rigorous quantum field theory

    J. Lorinczi,F.Hiroshima and V. Betz(Role:Joint author)

    Walter de Gruyter  2011.9 

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    Responsible for pages:Studies in Mathematics 34   Language:English   Book type:Scholarly book

  • 関数解析 : 現代の数学への道

    廣島 文生

    サイエンス社  2024    ISBN:9784781915890

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    Language:Japanese  

    CiNii Books

  • MI Lecture Note vol. 92

    Hiroshima Fumio

    九州大学マスフォインダストリ研究所  2022 

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    Total pages:149  

    CiNii Research

  • 量子場の数理とその周辺 : RIMS共同研究(公開型)

    廣島 文生, 京都大学数理解析研究所

    京都大学数理解析研究所  2022 

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  • 量子場の数理とその周辺 : RIMS共同研究(公開型)

    廣島 文生, 京都大学数理解析研究所

    京都大学数理解析研究所  2022 

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  • 無限の数理

    廣島 文生(Role:Edit)

    サイエンス社  2017.2 

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    Responsible for pages:出版予定   Language:Japanese   Book type:General book, introductory book for general audience

  • 量子力学の数学

    廣島文生(Role:Joint author)

    サイエンス社  2016.4 

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    Language:Japanese   Book type:General book, introductory book for general audience

  • 量子力学と関数解析

    廣島文生(Role:Joint author)

    サイエンス社 数理科学 解析学と物理学 2012年5月号  2012.5 

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    Language:Japanese   Book type:General book, introductory book for general audience

  • 確率論的場の量子論-シュポーン

    廣島文生(Role:Joint author)

    サイエンス社 数理科学 確率論的物理観-数理物理に広がるブレークスルー 2008年12月号  2008.12 

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    Language:Japanese   Book type:General book, introductory book for general audience

  • 量子論

    廣島文生(Role:Joint author)

    サイエンス社 数理科学・数学と物理の対話, 2006年5月号  2006.5 

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    Responsible for pages:24-29   Language:Japanese   Book type:General book, introductory book for general audience

  • 非相対論的量子電気力学

    廣島文生(Role:Sole author)

    現代物理学の歴史II, 朝倉書店  2004.1 

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    Responsible for pages:570-590   Language:Japanese   Book type:General book, introductory book for general audience

  • 開放系のスペクトル解析:汎関数積分によるアプローチ

    廣島文生(Role:Sole author)

    数理物理への誘い4, 遊星社  2002.1 

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    Responsible for pages:143-174   Language:Japanese   Book type:General book, introductory book for general audience

▼display all

Presentations

  • Renormalized spectral zeta function of Rabi model International conference

    Fumio Hiroshima

    Mathematical Challenges in Quantum Mechanics  2024.2 

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    Event date: 2024.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:online   Country:Japan  

    We discuss the asymptotic behaviors of the renormalized spectral zeta function of Rabi model and we derive the Riemann zeta function.

  • Localization of a renormalized Hamiltonian in QFT by a path measure Invited International conference

    Fumio Hiroshima

    Random Interacting Systems, Scaling Limits, and Universality  2023.12 

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    Event date: 2023.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:シンガポール国立大学 INS   Country:Singapore  

  • Semi-classical analysis in QFT Invited International conference

    Fumio Hiroshima

    Mathematical Physics in the heart of Germany  2023.7 

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    Event date: 2023.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Paderborn大学   Country:Germany  

  • Recent Advancesin Quantum and Statistical Mechanics Invited International conference

    Fumui Hiroshima

    Hausdorff School in Bon  2023.6 

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    Event date: 2023.6

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Bonn university   Country:Germany  

    博士課程の学生と若い研究者に、多体問題、量子力学、および場の量子理論に重点を置いた、数理物理学の最近の発展の一部を紹介する。近年、これらの分野で新しい解析的および確率的手法が開発され、数理物理学のコミュニティが多粒子系および場+粒子系の理解を進めることができるようになった。今回、そのような方法を提示し、異なる数学的背景と研究背景をもつ研究者間でアイデアを交換するための環境作りを目的とする。

  • Semi-classical analysis in quantum field theory, The 43-rd International Conference on Quantum Probability and Infinite Dimensional Analysis Invited International conference

    Fumio Hiroshima

    43rd International Conference on Quantum Probability and Infinite Dimensional Analysis (QP-43)  2023.1 

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    Event date: 2023.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:麗水   Country:Korea, Republic of  

  • Asymmetry of non-local discrete Schroedinger operators on a lattice Invited International conference

    Fumio Hiroshima

    Mathematical Analysis and its Applications in Modern Mathematical Physics  2022.9 

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    Event date: 2022.9

    Language:English  

    Venue:サマルカンド   Country:Uzbekistan  

  • Angle operators and phase operators associated with 1D-harmonic oscillator Invited International conference

    Fumio Hiroshima

    A quantum two-day meeting with Green talks, Green functions, and threshold behavior  2022.4 

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    Event date: 2022.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Aalborg univ   Country:Denmark  

  • Semi-classical analysis between Newton-Maxwell equation and non-relativistic QED Invited

    廣島文生

    解析から設計に向けたオフシェル数理科学, IMI共同利用  2022.2 

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    Event date: 2022.2

    Language:Japanese  

    Venue:福岡   Country:Japan  

  • Newton Maxwell equation through semi-classical analysis

    廣島文生

    RIMS研究会,量子場の数理とその周辺  2021.12 

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    Event date: 2021.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都   Country:Japan  

  • Localization of the ground state of the Nelson model Invited International conference

    廣島文生

    Himeji conference on PDE  2021.3 

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    Event date: 2021.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 汎関数積分によるくりこみ理論と基底状態の非摂動的解析について Invited

    廣島文生

    日本数学会  2021.6 

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    Event date: 2020.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:熊本大学 オンライン   Country:Japan  

  • Localizations of bound states of a renormalized Hamiltonian Invited International conference

    Fumio Hiroshima

    Scattering, microlocal analysis and renormalisation,Mittag-Leffler Institute, Stockholm  2020.6 

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    Event date: 2020.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Mittag-Leffler Institute, Stockholm   Country:Sweden  

    Localizations of bound states of a renormalized Hamiltonian, Mittag-Leffler Institute, Stockholm, 2020.06

  • Semi-classical analysis and Wigner measure for non-relativistic QED Invited International conference

    Fumio Hiroshima

    NAKAMURA60, Gakushuin univ.  2020.1 

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    Event date: 2020.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Gakushuin Univ.   Country:Japan  

  • 確率解析的くりこみ理論 Invited

    廣島 文生

    日本数学会秋季総合分科会 函数解析学分科会 特別講演  2019.9 

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    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:日本大   Country:Japan  

    Fumio Hiroshima, Stochastic renormalization, MSJ, Nippon univ. , special lecture, 2019.09

  • Hierarchy of CCR representations Invited International conference

    Fumio Hiroshima

    Aarhus university, seminar, Denmark  2018.10 

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    Event date: 2018.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Aarhus university   Country:Denmark  

  • Integral kernels of semigroup generated by a model in quantum field theory Invited International conference

    Fumio Hiroshima

    18th Workshop: Noncommutative Probability, Operator Algebras, Random Matrices and Related Topics, with Applications,Bedlewo, Poland  2018.7 

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    Event date: 2018.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Bedlewo, Poland   Country:Poland  

  • Ground state of renormalized Nelson model Invited International conference

    Fumio Hiroshima

    Aarhus university, Math. Phys. seminar, Denmark  2017.12 

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    Event date: 2017.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Aarhus university   Country:Denmark  

  • Schroedinger operators on lattice Invited International conference

    Fumio Hiroshima

    Second Summer School: Various aspects of mathematical physics,St Petersburg,Russia  2017.7 

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    Event date: 2017.7

    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:St Petersburg,Russia   Country:Russian Federation  

    Other Link: https://www.youtube.com/watch?v=HN-PAclC0Hw&feature=youtu.be&list=PLQNzZZrXfOqe-dJJtmA3pUKV8YE7pq0FQ

  • Feynman-Kac formula and its application to quantum physics Invited International conference

    Fumio Hiroshima

    Mathematical Analysis of Interacting Quantum Systems, Rennes univ., France  2017.3 

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    Event date: 2017.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rennes University   Country:France  

  • Analysis of time operators International conference

    Fumio Hiroshima

    La Sapienza univ. Math. Phys. seminar, Rome  2017.2 

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    Event date: 2017.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:La Sapienza Univ   Country:Italy  

  • Time operator associated with Schroedinger operators International conference

    Fumio Hiroshima

    QUTIS, Bilbao, Spain  2016.9 

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    Event date: 2016.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Basque大学   Country:Spain  

  • Threshold ground state of the semi-relativistic Pauli-Fierz Hamiltonian,Aarhus university International conference

    Fumio Hiroshima

    Aarhus univ. Seminar, Denmark  2016.2 

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    Event date: 2016.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 確率解析的場の量子論 Invited

    廣島 文生

    日本数学会秋季総合分科会 確率統計学分科会 特別講演  2015.9 

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    Event date: 2015.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:京産大   Country:Japan  

    Fumio Hiroshima, Stochastic analysis of quantum field theory, MSJ, Kyoto Ind. univ. , special lecture, 2015.09

  • Analysis of ground state of quantum field theory by Gibbs measures International conference

    Fumio Hiroshima

    International Congress of Mathematical Physics(ICMP) 2015,Chile  2015.8 

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    Event date: 2015.7 - 2015.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:サンチャゴ(チリ)   Country:Chile  

  • Spectrum of semi-relativistic QED by a Gibbs measure Invited International conference

    Fumio Hiroshima

    The 51 winter school of theoretical physics (Karpacz Winter Schools in Theoretical Physics), Poland  2015.2 

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    Event date: 2015.2

    Language:English   Presentation type:Oral presentation (general)  

    Venue:ポーランド   Country:Poland  

  • Functional integral approach to mathematically rigorous quantum field theory International conference

    Fumio Hiroshima

    TJASSST2013, Tunisia  2013.11 

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    Event date: 2013.11 - 2013.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Hammamet Yasmine (Tunisia)   Country:Other  

  • Gibbs measure approach to spin-boson model International conference

    Fumio Hiroshima

    International conference on stochastic analysis and applications, Tunisia  2013.10 

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    Event date: 2013.10

    Language:English  

    Venue:Hammamet (Tunisia)   Country:Other  

  • 非相対論的場の量子論とギブス測度 Invited

    廣島 文生

    2013数理物理サマースクール講師  2013.9 

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    Event date: 2013.9

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:東大   Country:Japan  

    Fumio Hiroshima, Non-relativistic QFT and Gibbs measures, math and phys summer school lecturer, Univ. Tokyo, 2013.09

  • Gibbs measure approach to properties of ground state in QFT International conference

    Fumio Hiroshima

    Laboratoire d’Analyse,Topologie,Probabilités seminar, Universite d'Aix Marseilles,Luminy, France  2013.3 

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    Event date: 2013.3

    Language:English  

    Venue:Marseille   Country:France  

  • Removal of UV cutoff of the Nelson model by stochastic analysis International conference

    Fumio Hiroshima

    量子場の数理とその周辺  2012.11 

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    Event date: 2012.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:京大数理解析研究所   Country:Japan  

  • Spectral analysis of QFT by functional integrals with jump processes Invited International conference

    Fumio Hiroshima

    SPA,Osaka  2010.9 

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    Event date: 2010.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Osaka   Country:Japan  

  • Functional integrations in quantum field theory Invited International conference

    Fumio Hiroshima

    The 24th Max Born symposium, Wroclaw Univ.  2008.9 

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    Event date: 2008.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wroclaw Univ.   Country:Poland  

  • Spectral analysis of Schrodinger operators coupled to a quantum field Invited

    廣島 文生

    日本数学会秋季総合分科会 函数解析学分科会 特別講演  2004.9 

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    Event date: 2004.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:北海道大   Country:Japan  

    Fumio Hiroshima, Spectral analysis of Schrodinger operators coupled to a quantum field, MSJ, Hokkaido univ., special lecture, 2004.09

  • Spectral analysis of atoms interacting with a quantized radiation field Invited

    廣島 文生

    2000数理物理サマースクール講師  2000.9 

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    Event date: 2000.9 - 2013.9

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:学習院大   Country:Japan  

    Fumio Hiroshima, Spectral analysis of atoms interacting with a quantized radiation field, math and phys summer school lecturer, Gakushuin univ., 2000.09

  • Analysis of the Pauli-Fierz model for arbitrary coupling constant Invited International conference

    Fumio Hiroshima

    Workshop on Open Classical and Quantum Field Theory, Lille univ. ,France  1999.6 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lille大学   Country:France  

    Analysis of the Pauli-Fierz model for arbitrary coupling constant

  • Ground states of a system interacting with a radiation field: existence, uniqueness and expression Invited International conference

    Fumio Hiroshima

    UAB Mathematical Physics Congress 99, Alabama univ. USA  1999.3 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Alabama大学   Country:United States  

    Ground states of a system interacting with a radiation field: existence, uniqueness and expression

  • Self-adjointness of the Pauli-Fierz model for arbitrary coupling constants International conference

    Fumio Hiroshima

    Relativistic quantum system and quantum electrodynamics, Mathematisches Forschungsinstitut Oberwolfach  2001.8 

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    Language:English   Presentation type:Symposium, workshop panel (public)  

    Venue:Mathematisches Forschungsinstitut Oberwolfach   Country:Germany  

    Self-adjointness of the Pauli-Fierz model for arbitrary coupling constants

  • Feynman-Kac formula Invited International conference

    Fumio Hiroshima

    Mini-course on Feynman-Kac formulas and their applications, Wien University, WPI  2006.3 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wien University, WPI   Country:Austria  

    Other Link: http://www.wpi.ac.at/

  • Enhanced binding for quantum field models International conference

    Fumio Hiroshima

    Universite de Rennes 1 seminar, France  2013.3 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rennes I Univ.   Country:France  

  • Spectrum of non-commutative harmonic oscillator and related models International conference

    Fumio Hiroshima

    Bologna univ. seminar, Italy  2013.9 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Bologna Univ.   Country:Italy  

  • Feynman-Kac type formula with cadlag path and generalized Schroedinger operator with spin

    廣島文生

    量子科学における双対性とスケール  2011.6 

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    Event date: 2010.11

    Presentation type:Oral presentation (general)  

    Venue:京大基礎物理研究所   Country:Japan  

    Feynman-Kac type formula with cadlag path and generalized Schroedinger operator with spin

  • Relativistic Pauli-Fierz model in QED by path measures International conference

    Fumio Hiroshima

    数学的場の量子論とくりこみ理論  2009.11 

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    Event date: 2009.11

    Presentation type:Oral presentation (general)  

    Venue:九大西新プラザ   Country:Japan  

  • Spectral analysis of QFT by functional integrations Invited International conference

    Fumio Hiroshima

    Stochastic analysis and applications, 2008 (福岡)  2008.9 

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    Event date: 2008.9

    Presentation type:Oral presentation (general)  

    Venue:福岡・西新プラザ   Country:Japan  

  • Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants International conference

    Fumio Hiroshima

    Munchen大学 (LMU) 談話会  2001.3 

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    Presentation type:Oral presentation (general)  

    Venue:Munchen大学 (LMU)   Country:Germany  

    Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

  • Effective mass and its mass renormalization of nonrelativistic QED

    廣島文生

    繰り込み群の数理物理学への応用, RIMS  2003.9 

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    Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所   Country:Japan  

    Effective mass and its mass renormalization of nonrelativistic QED

  • Degenerate ground states of QED International conference

    Fumio Hiroshima

    Frontier of noncommutative analysis and mathematical quantum theory(福岡)  2002.8 

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    Presentation type:Oral presentation (general)  

    Venue:福岡   Country:Japan  

    Degenerate ground states of QED

  • Enhanced binding and mass renormalization of QED

    廣島文生

    散乱理論とその周辺, RIMS  2003.10 

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    Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所   Country:Japan  

    Enhanced binding and mass renormalization of QED'

  • Spectral analysis of partcles interacting through quantum fields Invited

    廣島文生

    微分方程式の総合的研究, 東京大学  2003.12 

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    Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

    Spectral analysis of partcles interacting through quantum fields

  • Asymptotic fields and ground states of quantum field models International conference

    Fumio Hiroshima

    Open Quantum System, E.Schrodinger Inst. Wien.  2005.3 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:ESI   Country:Austria  

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MISC

  • 数理物理

    廣島文生

    数理科学6月号 サイエンス社   2021.6

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • Martin Heirer 業績紹介

    廣島 文生

    日本数学会,数学68   2016.2

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • Enhanced binding in quantum field theory

    Fumio Hiroshima, Itaru Sasaki, Herbert Spohn and Akito Suzuki

    COE Lecture Note 38 (Math-for-Industry)   2012.2

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

  • 場の理論における埋蔵固有値の摂動問題

    廣島文生

    数学,日本数学会   2005.1

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)  

    Perturbation problems of embedded eigenvalues in quantum field theory

  • Mathematical quantum field theory and renormalization theory

    Takashi Hara, Taku Matsui and Fumio hiroshima

    COE Lecture Note 30 (Math-for-Industry)   2011.1

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

Professional Memberships

  • 日本数学会

Committee Memberships

  • 日本数学会函数解析分科会   Councilor   Domestic

    2021.4 - 2022.3   

  • 日本数学会函数解析分科会   連絡責任評議委員   Domestic

    2021.4 - 2022.3   

  • 日本数学会解析学賞   Steering committee member   Domestic

    2020.4 - 2022.3   

  • 日本数学会解析学賞   日本数学会解析学賞事務局   Domestic

    2020.4 - 2022.3   

  • 日本数学会函数解析分科会   Councilor   Domestic

    2020.4 - 2021.3   

  • 日本数学会実函数論・函数解析学   Steering committee member   Domestic

    2019.4 - 2020.3   

  • 日本数学会実函数論・函数解析学   実函数論・函数解析学合同シンポジウム会場責任者   Domestic

    2019.4 - 2020.3   

  • 日本数学会函数解析分科会   Steering committee member   Domestic

    2017.4 - 2020.3   

  • 日本数学会函数解析分科会   PDEグループ委員   Domestic

    2017.4 - 2020.3   

  • 九州若手数学賞賛同者の会.   Steering committee member   Domestic

    2014.4 - 2020.5   

  • 九州若手数学賞賛同者の会.   事務局   Domestic

    2014.4 - 2020.5   

  • 日本数学会数学通信編集   Steering committee member   Domestic

    2012.4 - 2013.3   

  • 日本数学会九州支部   Steering committee member   Domestic

    2012.4 - 2013.3   

  • 日本数学会数学通信編集   数学通信編集委員   Domestic

    2012.4 - 2013.3   

  • 日本数学会九州支部   九州支部連絡代表評議員   Domestic

    2012.4 - 2013.3   

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Academic Activities

  • 数理研講究録2235

    2023.6

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    Type:Academic society, research group, etc. 

  • 数理研講究録2187

    2023.6

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    Type:Academic society, research group, etc. 

  • 数理研講究録2123

    2023.6

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    Type:Academic society, research group, etc. 

  • JST【創発的研究推進部】審査員

    Role(s): Review, evaluation

    2023.4 - 2024.3

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    Type:Scientific advice/Review 

  • 代表 International contribution

    量子場の数理とその周辺  ( Japan ) 2023.1

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    Type:Competition, symposium, etc. 

    Number of participants:50

  • 代表

    H60  ( Japan ) 2022.12

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    Type:Competition, symposium, etc. 

    Number of participants:20

  • 世話人

    時間・量子測定・準古典近似の理論と実験〜古典論と量子論の境界  ( Japan ) 2022.7

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    Type:Competition, symposium, etc. 

  • 九大IMI Lecture Note

    2022.7

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    Type:Academic society, research group, etc. 

  • 数理研講究録2089 International contribution

    2022.6

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    Type:Academic society, research group, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2022

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:11

  • 代表

    量子場の数理とその周辺  ( Japan ) 2021.12

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    Type:Competition, symposium, etc. 

    Number of participants:50

  • 代表

    量子場の数理とその周辺  ( Japan ) 2021.3

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2021

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:11

  • 代表

    スペクトル散乱理論とその周辺  ( Japan ) 2020.12

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    Type:Competition, symposium, etc. 

  • 世話人

    時間・量子測定・準古典近似の理論と実験〜古典論と量子論の境界  ( Japan ) 2020.9

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2020

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:2

  • 代表

    量子場の数理とその周辺  ( Japan ) 2019.6

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2019

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 代表

    量子場の数理とその周辺  ( Japan ) 2018.6

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2018

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:10

  • 代表

    量子場の数理とその周辺  ( Japan ) 2017.6

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2017

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:6

  • 副代表、世話人 International contribution

    量子場の数理とその周辺  ( Japan ) 2016.6

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    Type:Competition, symposium, etc. 

    Number of participants:40

  • Screening of academic papers

    Role(s): Peer review

    2016

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:7

  • 副代表

    量子場の数理とその周辺  ( Japan ) 2015.10

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    Type:Competition, symposium, etc. 

    Number of participants:40

  • Screening of academic papers

    Role(s): Peer review

    2015

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

  • 副代表

    量子場の数理とその周辺  ( Japan ) 2014.10

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    Type:Competition, symposium, etc. 

    Number of participants:40

  • Screening of academic papers

    Role(s): Peer review

    2014

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:5

  • 副代表 International contribution

    量子場の数理とその周辺  ( Japan ) 2013.10

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    Type:Competition, symposium, etc. 

    Number of participants:50

  • Screening of academic papers

    Role(s): Peer review

    2013

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:5

  • 研究代表者 International contribution

    非可換調和振動子のスペクトルと量子デバイスの数理  ( Japan ) 2012.11

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    Type:Competition, symposium, etc. 

    Number of participants:50

  • 副代表 International contribution

    量子場の数理とその周辺  ( Japan ) 2012.11

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    Type:Competition, symposium, etc. 

    Number of participants:80

  • moderator International contribution

    Study Group Workshop  ( Japan ) 2012.7

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    Type:Competition, symposium, etc. 

  • 研究代表者 International contribution

    Avoided? crossing of eigenvalue curves, non-commutative harmonic oscillator, special function and number theory  ( Japan ) 2012.3

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    Type:Competition, symposium, etc. 

    Number of participants:50

  • Screening of academic papers

    Role(s): Peer review

    2012

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 研究代表者 International contribution

    スペクトル散乱理論とその周辺  ( Japan ) 2011.12

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2011

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 座長(Chairmanship) International contribution

    Stochastic Process and their Applications 2010  ( Japan ) 2010.9

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    Type:Competition, symposium, etc. 

  • 共同主催

    非線形シュレディンガー方程式の基底状態  ( Japan ) 2010.3

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    Type:Competition, symposium, etc. 

    Number of participants:30

  • 研究代表者 International contribution

    九州確率論研究会  ( Japan ) 2009.11

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    Type:Competition, symposium, etc. 

  • 座長(Chairmanship) International contribution

    数学的場の量子論と統計力学  ( Japan ) 2009.11

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2009

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

  • Screening of academic papers

    Role(s): Peer review

    2008

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 副代表

    くりこみ群の数理科学への応用  ( Japan ) 2007.9 - Present

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    Type:Competition, symposium, etc. 

    Number of participants:30

  • 座長(Chairmanship)

    日本数学会  ( Japan ) 2007.9 - Present

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2007

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

  • 主催 International contribution

    厳密統計力学と数学的場の量子論  ( Japan ) 2006.9 - Present

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    Type:Competition, symposium, etc. 

    Number of participants:40

  • 座長(Chairmanship) International contribution

    厳密統計力学と数学的場の量子論  ( Japan ) 2006.9 - Present

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    Type:Competition, symposium, etc. 

  • 座長(Chairmanship)

    くりこみ群の数理科学への応用  ( Japan ) 2005.9 - Present

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    Type:Competition, symposium, etc. 

  • Screening of academic papers

    Role(s): Peer review

    2005

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:7

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Research Projects

  • Non-perturbative spectral analysis of quantum field theory by stochastic analysis and semi-classical approximation

    Grant number:23K20217  2020.4 - 2025.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

    廣島 文生

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    Grant type:Scientific research funding

    佐々木格 (信州大),Z. Ammari (Rennes I 大, 仏), M. Falconi (Rome 大, 伊), M. Gubinelli (Bonn 大, 独), J. L orinczi (Loughborough大, 英), O. Matte (Aalborg 大, デンマーク) らと共同で, 以下の研究を行う.
    1. 確率解析的手法によって場の量子論のハミルトニアンのスペクトルを非摂動的に解析する.
    2. 拡張されたWigner測度による場の量子論の準古典近似解析を行う.
    また研究会を開催し, 国内・海外の研究者と情報交換・意見交換し, 国内の若手研究者にも発表の機会を与える.

    CiNii Research

  • 確率解析的手法による場の量子論の非摂動的スペクトル解析と準古典近似

    Grant number:20H01808  2020 - 2024

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • Mathematical and experimental verification of time operators

    Grant number:20K20886  2020 - 2021

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Challenging Research(Exploratory)

    Hiroshima Fumio

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    Authorship:Principal investigator  Grant type:Scientific research funding

    This research is an experimental verification and theoretical study of the existence of the so-called "time operators". Let H be the Hamiltonian of the system. T is called a strong time operator iff there exists a pair (H,T) satisfying the weak Weil relation. This study is an extremely challenging research to experimentally confirm the existence of time operators, which is a concept in pure mathematics. Although the research did not proceed as originally planned due to COVID 2019, we were able to hold a workshop on the time operator, publish lecture notes, and present our results both in Japan and abroad. We also verified Arai's inequality in simulations.

    CiNii Research

  • 二国間(日本・デンマーク)交流事業共同研究: フォノンの影響を受ける量子デバイスの数理モデリング International coauthorship

    2017.4 - 2019.3

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    Authorship:Collaborating Investigator(s) (not designated on Grant-in-Aid) 

  • CREST暗号数理 数学モデル化/量子相互作用の数理とL-関数からの次世代暗号研究

    2016.4 - 2020.3

    九大 

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    Authorship:Coinvestigator(s) 

  • International Network Program for bilateral network activities (Denmark-Japan) International coauthorship

    2016.4 - 2017.3

    Aarhus 大学 (デンマーク) 

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    Authorship:Coinvestigator(s) 

  • 測度論的手法による無限次元解析と場の量子論のスペクトル解析への応用

    Grant number:16H03942  2016 - 2019

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 非可換調和振動子及びRabi模型のスペクトル曲線の代数的性質

    Grant number:15K13445  2015 - 2016

    Grants-in-Aid for Scientific Research  Grant-in-Aid for challenging Exploratory Research

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 無限自由度量子系の確率解析的手法による非摂動的スペクトル解析

    Grant number:23340032  2011 - 2013

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • Functional integral method for non-local operators

    2011

    Grants-in-Aid for Scientific Research  Research-in-Group, ICMS Edinburgh

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    Authorship:Coinvestigator(s)  Grant type:Competitive funding other than Grants-in-Aid for Scientific Research

  • 汎関数積分による場の量子論のスペクトル解析

    Grant number:22654018  2010 - 2011

    Grants-in-Aid for Scientific Research  Grant-in-Aid for challenging Exploratory Research

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 量子場相互作用系の非摂動的スペクトル解析

    Grant number:20340032  2008 - 2010

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 量子場と結合したシュレディンガー作用素のスペクトルと有効質量の研究

    Grant number:17540181  2005 - 2007

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 不明

    Grant number:15540191  2003 - 2004

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 不明

    Grant number:13740106  2001 - 2002

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Encouragement of Scientists (A)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • Mathematical Physics and probability theory

    2001

    Grants-in-Aid for Scientific Research  Graduiertenkolleg "Mathematik in ihrer Wechselbzeihung zur Physik"

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    Grant type:Competitive funding other than Grants-in-Aid for Scientific Research

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Educational Activities

  • 2005年前期 微積分A担当(工学部)
    2005年後期 微積分B担当(工学部)
    2006年前期 線形代数A(数学科), 微積分続論(工学部)担当
    2006年後期 確率論基礎演習(数学科), 線形代数B(数学科)担当
    2007年前期 線形代数A(数学科), 微分積分A(工学部)担当
    2007年後期 線形代数B(数学科),微分積分B(工学部)担当
    2008年前期 微分方程式大意(数学科4年生,修士), 確率論大意(数学科4年生,修士)担当
    2008年後期 解析学C・フーリエ解析(数学科3年生)担当
    2009年前期 線形代数A,微分積分A,確率論大意担当
    2009年後期 線形代数B,微分積分B,微分方程式大意担当
    2010年前期 微分積分A, 確率論基礎・応用 
    2010年後期 微分積分B, 無限解析大意,数学IB
    2011年前期 微分積分A, 確率論大意,数学展望,数学演習III(位相空間論)
    2011年後期 微分積分B, 無限解析大意,数学IB
    2012年前期 数学演習III(位相空間論)
    2013年前期 解析III(測度論)
    2014年前期 解析III(測度論)
    2015前期 無限解析大意
    2016前期 無限解析大意
    2017前期 無限解析大意
    2018前期 無限解析大意
    2019前期 無限解析大意
    2020前期 無限解析大意
    2021前期 無限解析大意
    2022前期 無限解析大意
    2022前期 解析II(フーリエ解析)
    2023前期 解析II(フーリエ解析)

Class subject

  • 解析学II

    2023.10 - 2024.3   Second semester

  • 無限解析大意

    2022.10 - 2023.3   Second semester

  • 解析学II

    2022.10 - 2023.3   Second semester

  • 微分積分続論I

    2022.4 - 2022.9   First semester

  • 無限次元解析大意

    2021.4 - 2021.9   First semester

  • 微分積分I

    2021.4 - 2021.9   First semester

  • 微分積分III

    2021.4 - 2021.9   First semester

  • 微分積分学・同演習Ⅲ

    2020.12 - 2021.2   Winter quarter

  • 数理科学特論12

    2020.10 - 2021.3   Second semester

  • 数理科学特別講義ⅩⅡ

    2020.10 - 2021.3   Second semester

  • 数学演習ⅠB

    2020.10 - 2021.3   Second semester

  • 微分積分学・同演習Ⅱ

    2020.10 - 2020.12   Fall quarter

  • 無限解析大意

    2020.4 - 2020.9   First semester

  • 数学演習ⅠA

    2020.4 - 2020.9   First semester

  • 微分積分学・同演習Ⅰ

    2020.4 - 2020.9   First semester

  • 数学特論6

    2020.4 - 2020.9   First semester

  • 数学特論6

    2020.4 - 2020.9   First semester

  • 数学特論6

    2020.4 - 2020.9   First semester

  • 無限解析大意

    2020.4 - 2020.9   First semester

  • 数学演習ⅠA

    2020.4 - 2020.9   First semester

  • 微分積分学・同演習Ⅰ

    2020.4 - 2020.9   First semester

  • 微分積分学・同演習Ⅲ

    2019.12 - 2020.2   Winter quarter

  • 線形代数学・同演習B

    2019.10 - 2020.3   Second semester

  • MMA講究B

    2019.10 - 2020.3   Second semester

  • 微分積分学・同演習Ⅱ

    2019.10 - 2019.12   Fall quarter

  • 無限解析大意

    2019.4 - 2019.9   First semester

  • 線形代数

    2019.4 - 2019.9   First semester

  • 微分積分学・同演習Ⅰ

    2019.4 - 2019.9   First semester

  • 線形代数学・同演習A

    2019.4 - 2019.9   First semester

  • 数学特論6

    2019.4 - 2019.9   First semester

  • 数学特論6

    2019.4 - 2019.9   First semester

  • 微分積分学・同演習Ⅲ

    2018.12 - 2019.2   Winter quarter

  • 数学特論6

    2018.10 - 2019.3   Second semester

  • 無限解析大意

    2018.10 - 2019.3   Second semester

  • MMA講究D

    2018.10 - 2019.3   Second semester

  • 微分積分学・同演習Ⅱ

    2018.10 - 2018.12   Fall quarter

  • 数学特論6

    2018.4 - 2018.9   First semester

  • 微分積分学・同演習Ⅰ

    2018.4 - 2018.9   First semester

  • 線形代数

    2018.4 - 2018.9   First semester

  • 数理学講究第Ⅰ

    2017.10 - 2018.3   Second semester

  • 数理学講究第Ⅱ

    2017.4 - 2018.3   Full year

  • 数理学基礎論究

    2017.4 - 2018.3   Full year

  • 数理学基礎講究Ⅱ

    2017.4 - 2018.3   Full year

  • 数理学基礎講究Ⅰ

    2017.4 - 2018.3   Full year

  • 数学特論6

    2017.4 - 2017.9   First semester

  • 無限解析大意

    2017.4 - 2017.9   First semester

  • 数学演習ⅠA

    2017.4 - 2017.9   First semester

  • ルベーク積分

    2017.4 - 2017.9   First semester

  • 積分論の基礎

    2017.4 - 2017.9   First semester

  • 数学IB

    2013.10 - 2014.3   Second semester

  • 数学概論III(位相空間論)

    2013.10 - 2014.3   Second semester

  • 応用数学III

    2013.10 - 2014.3   Second semester

  • 微分積分続論

    2013.4 - 2013.9   First semester

  • 無限次元解析大意

    2013.4 - 2013.9   First semester

  • 数学IB(関数論)

    2012.10 - 2013.3   Second semester

  • 数学概論III(位相空間論)

    2012.10 - 2013.3   Second semester

  • 応用数学III(確率解析)

    2012.10 - 2013.3   Second semester

  • 無限解析大意

    2012.4 - 2012.9   First semester

  • 微分積分続論

    2012.4 - 2012.9   First semester

  • 無限解析大意

    2011.10 - 2012.3   Second semester

  • 微分積分・同演習A

    2011.4 - 2011.9   First semester

  • 微分積分・同演習B

    2010.10 - 2011.3   Second semester

  • 無限解析大意

    2010.10 - 2011.3   Second semester

  • 数学IB

    2010.10 - 2011.3   Second semester

  • 無限解析大意

    2010.10 - 2011.3   Second semester

  • 微分積分・同演習A

    2010.4 - 2010.9   First semester

  • 確率論大意

    2010.4 - 2010.9   First semester

  • 確率論大意

    2010.4 - 2010.9   First semester

  • 線形代数・同演習B

    2009.10 - 2010.3   Second semester

  • 微分積分・同演習B

    2009.10 - 2010.3   Second semester

  • 線形代数・同演習A

    2009.4 - 2009.9   First semester

  • 微分積分・同演習B

    2009.4 - 2009.9   First semester

  • 解析学C

    2008.10 - 2009.3   Second semester

  • 微分方程式大意

    2008.4 - 2008.9   First semester

  • 確率論大意

    2008.4 - 2008.9   First semester

  • 微分積分B

    2007.10 - 2008.3   Second semester

  • 線形代数B

    2007.10 - 2008.3   Second semester

  • 微分積分A

    2007.4 - 2007.9   First semester

  • 線形代数A

    2007.4 - 2007.9   First semester

  • 確率論基礎・演習

    2006.10 - 2007.3   Second semester

  • 線形代数B

    2006.10 - 2007.3   Second semester

  • 微分積分続論

    2006.4 - 2006.9   First semester

  • 線形代数A

    2006.4 - 2006.9   First semester

  • 微分積分B

    2005.10 - 2006.3   Second semester

  • 微分積分A

    2005.4 - 2005.9   First semester

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FD Participation

  • 2024.5   Role:Speech   Title:数理学学府教員会議

    Organizer:Undergraduate school department

  • 2017.3   Title:教室会議

    Organizer:Undergraduate school department

  • 2011.4   Role:Participation   Title:教室会議

    Organizer:Undergraduate school department

  • 2010.6   Role:Participation   Title:教室会議

    Organizer:Undergraduate school department

  • 2005.4   Role:Participation   Title:不明

    Organizer:University-wide

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2019  Rennes I 大学  Classification:Intensive course  Domestic/International Classification:Overseas 

  • 2017  釜山大学  Classification:Intensive course  Domestic/International Classification:Overseas 

  • 2014  北海道大学・理学研究院  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:11月

  • 2009  信州大学  Classification:Intensive course  Domestic/International Classification:Japan 

  • 2006  東京大学大学院数理科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:6月

  • 2002  金沢大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:7月

  • 2001  岡山大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:7月

  • 2001  京都繊維工芸大学  Classification:Part-time lecturer  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:2001年度から2004年度まで

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Other educational activity and Special note

  • 2023  Coaching of Students' Association  女子バスケット部

     詳細を見る

    顧問

  • 2022  Coaching of Students' Association  女子バスケット部

     詳細を見る

    顧問

  • 2021  Coaching of Students' Association  女子バスケット部

     詳細を見る

    顧問

  • 2020  Class Teacher  学部

  • 2005  Class Teacher  学部

Social Activities

  • 福岡市立多々良中学校PTA会長

    2024

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    福岡市立多々良中学校PTA会長

  • 数列のお話

    伝習館高校  2019.11

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • バーゼル問題

    香住丘高校  2018.11

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • バーゼル問題

    西南高校  2018.9

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • バーゼル問題

    高校出前授業  2015.10

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 指数の拡大

    オープンキャンパス  2013.8

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 四則演算

    高校出前授業  2012.6

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 時間の数理

    九大・数理  九大・数理  2010.8

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    Audience:General, Scientific, Company, Civic organization, Governmental agency

    Type:Lecture

  • フェルマー、リーマン、ポアンカレ

    九大オープンキャンパス  2009.8

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • シュレディンガー方程式と経路積分

    九大・数理  九大・数理  2007.8

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    Audience:General, Scientific, Company, Civic organization, Governmental agency

    Type:Lecture

  • 数の拡大

    九大オープンキャンパス  2007.8

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    Audience:Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

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Media Coverage

  • 2019年度解析学賞受賞者紹介

    数学  2019.10

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    2019年度解析学賞受賞者紹介

  • 学科紹介 Newspaper, magazine

    数学セミナー  1994.12

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    学科紹介

  • 学科紹介 Newspaper, magazine

    数学セミナー  1994.6

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    学科紹介

Activities contributing to policy formation, academic promotion, etc.

  • 1997.9 - 2020.3   Americal Mathematical Society

    論文紹介(Mathematical Review)。2010年現在120本。

Educational Activities for Highly-Specialized Professionals in Other Countries

  • 2023.6   Hausdorff School for Mathematics 講師

    Main countries of student/trainee affiliation:Germany

  • 2020.3   集中講義

    Main countries of student/trainee affiliation:France

  • 2018.10   学位副査

    Main countries of student/trainee affiliation:Denmark

  • 2017.10   集中講義

    Main countries of student/trainee affiliation:Korea, Republic of

  • 2006.3   Feynman-Kac formula (集中講義)

    Main countries of student/trainee affiliation:Austria

Acceptance of Foreign Researchers, etc.

  • Acceptance period: 2022.1  

    Nationality:Germany

  • Aarhus 大学

    Acceptance period: 2017.4 - 2017.9   (Period):1 month or more

    Nationality:Denmark

    Business entity:Foreign governments, foreign research institutes, international organizations

  • Acceptance period: 2016.11   (Period):Less than 2 weeks

    Nationality:Poland

  • Acceptance period: 2016.10  

    Nationality:Denmark

  • Acceptance period: 2016.6   (Period):Less than 2 weeks

    Nationality:France

  • Acceptance period: 2016.6  

    Nationality:Italy

  • Acceptance period: 2016.6  

    Nationality:Germany

  • Tunis Univesity

    Acceptance period: 2014.2   (Period):Less than 2 weeks

    Nationality:Other

    Business entity:Japan Society for the Promotion of Science

  • Acceptance period: 2012.7 - 2014.6   (Period):1 month or more

    Nationality:Germany

    Business entity:Foreign governments, foreign research institutes, international organizations

  • Orsay大学(パリ11大学)

    Acceptance period: 2011.2   (Period):Less than 2 weeks

    Nationality:France

    Business entity:Japan Society for the Promotion of Science

  • Loughborough大学

    Acceptance period: 2010.9 - 2010.10   (Period):2weeks to less than 1 month

    Nationality:Netherlands

    Business entity:Foreign governments, foreign research institutes, international organizations

  • Munchen 工科大学

    Acceptance period: 2009.10 - 2010.1   (Period):1 month or more

    Nationality:Germany

    Business entity:On-campus funds

  • Loughborough大学

    Acceptance period: 2009.4   (Period):2weeks to less than 1 month

    Nationality:Netherlands

    Business entity:Foreign governments, foreign research institutes, international organizations

  • Princeton 大学

    Acceptance period: 2007.6   (Period):Less than 2 weeks

    Nationality:Switzerland

  • Munchen 工科大学

    Acceptance period: 2007.5 - 2007.6   (Period):2weeks to less than 1 month

    Nationality:Netherlands

  • Warwick 大学

    Acceptance period: 2006.8 - 2006.9   (Period):2weeks to less than 1 month

    Nationality:Germany

  • Wien 大学

    Acceptance period: 2005.9   (Period):Less than 2 weeks

    Nationality:Netherlands

    Business entity:Ministry of education

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Travel Abroad

  • 2023.6

    Staying countory name 1:Germany   Staying institution name 1:HCM

  • 2023.3

    Staying countory name 1:France   Staying institution name 1:Rennes I

  • 2022.9

    Staying countory name 1:Germany   Staying institution name 1:Munster大学

  • 2022.9

    Staying countory name 1:Uzbekistan   Staying institution name 1:Samarkand 州立大

  • 2022.5

    Staying countory name 1:Denmark   Staying institution name 1:Aalborg大学

  • 2022.4

    Staying countory name 1:Italy   Staying institution name 1:Milano工科大

  • 2020.6

    Staying countory name 1:Sweden   Staying institution name 1:Mittag-Leffler

  • 2018.8

    Staying countory name 1:Poland   Staying institution name 1:Bedlewo

  • 2017.7

    Staying countory name 1:Korea, Republic of   Staying institution name 1:釜山大学

  • 2017.7

    Staying countory name 1:Russian Federation   Staying institution name 1:Euler Institue

  • 2016.9

    Staying countory name 1:Spain   Staying institution name 1:Basque 大学

  • 2016.2

    Staying countory name 1:Denmark   Staying institution name 1:Aarhus大学

  • 2015.9

    Staying countory name 1:Chile   Staying institution name 1:ICMP 2015

  • 2015.2

    Staying countory name 1:Poland   Staying institution name 1:Karpacz Winter Schools in Theoretical Physics

  • 2014.3 - 2014.4

    Staying countory name 1:France   Staying institution name 1:Rennes I Univesity

  • 2013.11

    Staying countory name 1:Other   Staying institution name 1:Hammamet Yasmine (Tunisia)

  • 2013.10

    Staying countory name 1:Other   Staying institution name 1:Hammamet(Tunisia)

  • 2013.9

    Staying countory name 1:Italy   Staying institution name 1:Bologna大学

  • 2013.7 - 2013.8

    Staying countory name 1:Sweden   Staying institution name 1:Mittag-Leffler 研究所

  • 2013.3

    Staying countory name 1:France   Staying institution name 1:Marseille

    Staying institution name 2:Rennes

  • 2012.3

    Staying countory name 1:France   Staying institution name 1:Orsay 大学

  • 2011.9 - 2011.10

    Staying countory name 1:United Kingdom   Staying institution name 1:Edinburgh 大学

  • 2010.11

    Staying countory name 1:France   Staying institution name 1:Orsay 大学

  • 2010.9

    Staying countory name 1:United Kingdom   Staying institution name 1:Loughborough 大学

  • 2009.2

    Staying countory name 1:Germany   Staying institution name 1:Berlin大学

  • 2008.10 - 2008.11

    Staying countory name 1:France   Staying institution name 1:IHES及びOrsay大学

  • 2008.9

    Staying countory name 1:United Kingdom   Staying institution name 1:Laughboroug 大学

    Staying countory name 2:Poland   Staying institution name 2:Wroclaw 大学

  • 2007.3

    Staying countory name 1:Austria   Staying institution name 1:Schroedinger Institute

  • 2007.2 - 2007.3

    Staying countory name 1:United Kingdom   Staying institution name 1:Warwick 大学

  • 2006.3

    Staying countory name 1:Austria   Staying institution name 1:Wien 大学 Pauli Institute

  • 2005.3

    Staying countory name 1:Austria   Staying institution name 1:Schroedinger Institute

  • 2003.2 - 2003.4

    Staying countory name 1:Germany   Staying institution name 1:Muenchen 工科大学

  • 2001.8 - 2001.9

    Staying countory name 1:Germany   Staying institution name 1:Muenchen 工科大学

  • 2001.2 - 2001.4

    Staying countory name 1:Germany   Staying institution name 1:Muenchen 工科大学

  • 1999.2 - 2000.2

    Staying countory name 1:Germany   Staying institution name 1:Munchen 工科大学

  • 1998.2 - 1999.1

    Staying countory name 1:Germany   Staying institution name 1:Bonn 大学応用数学研究所

  • 1997.9 - 1998.1

    Staying countory name 1:Germany   Staying institution name 1:Ruhr 大学

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