Kyushu University Academic Staff Educational and Research Activities Database
List of Papers
Fumio Hiroshima Last modified date:2019.05.08

Professor / Department of Mathematics / Faculty of Mathematics


Papers
1. F.Hiroshima, T.Hidaka, I.Sasaki, Spectrum of semi-relativistic Pauli-Fierz Hamiltonian II, preprint, 2016.10.
2. F.Hiroshima, A.Arai, Ultra-weak time operators of Schroedinger operators, preprint, 2016.10, In an abstract framework, a new concept on time operator, ultra-weak time operator, is introduced, which is a concept weaker than that of weak time operator. Theorems on the existence of an ultra-weak time operator are established. As an application of the theorems, it is shown that Schrödinger operators HV with potentials V obeying suitable conditions, including the Hamiltonian of the hydrogen atom, have ultra-weak time operators. Moreover, a class of Borel measurable functions f:ℝ→ℝ such that f(HV) has an ultra-weak time operator is found..
3. F.Hiroshima, T.Ichinose, J.Lorinczi, Kato's inequality for magnetic relativistic Schroedinger operators, to appear in Publ RIMS Kyoto., 2016.10.
4. Fumio Hiroshima, Takeru Hidaka, Spectrum of the semi-relativistic Pauli-Fierz model I, J.Math.Anal.Appl., 437, 330-349, 2016.04, Relativistic PF model is studied in the non-perturbative way..
5. Fumio Hiroshima, Takeru Hidaka, Self-adjointness of semi-relativistic Pauli-Fierz Hamiltonian, Rev.Math.Phys., 27, 1550015,18page, 2015.04.
6. Fumio Hiroshima, Itaru Sasaki, Enhanced binding of an N-particle system interacting with a scalar field II. Relativistic version, Publ RIMS Kyoto , 51, 655-690, 2015.02.
7. Fumio Hiroshima, Masao Hirokawa, Absence of energy level crossing for the ground state energy of the Rabi model, Communications in Stochastic Analysis, 9, 551-560, 2014.07.
8. Fumio Hiroshima, Jozsef Lorinczi, The Spectrum of non-local discrete Schroedinger operators with a delta-potential, Pacific J. Math-for-Industry , 6, 6pages, 2014.04, Pacific J. Math-for-Industry 6 (2014), 6pages [pdf].
9. Fumio Hiroshima, Itaru Sasaki, Spectral analysis of non-commutative harmonic oscillators:the lowest eigenvalue and no crossing, J. Math. Anal and Apple., 45, 595-609, 2014.04.
10. Fumio Hiroshima, Masao Hirokawa, Lozsef Lorinczi, Spin-boson model through a Poisson-driven stochastic process, Math Z, 277, 1165-1198, 2014.04.
11. Fumio Hiroshima, Functional integral approach of semi-relativistic Pauli-Fierz models, Advances in Mathematics, 269, 784-840, 2014.04.
12. F.Hiroshima, M.Gubinelli, J.Lorinczi, Ultraviolet renormalization of the Nelson Hamiltonian through functional integration,, J.Funct.Anal., 267, 3125-3153, 2014.04.
13. Fumio Hiroshima and Itaru Sasaki, Multiplicity of the lowest eigenvalues of non-commutative harmonic oscillators, Kyushu J. Math , 67, 355-366, 2013.01.
14. F. Hiroshima, T. Ichinose and J. Lorinczi, Probabilistic representation and fall-off of bound states of relativistic Schrodinger operators with spin 1/2, Publ RIMS Kyoto, 49, 189-214, 2013.01.
15. Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai and Akito Suzuki, Note on the spectrum of discrete Schroedinger operators, Journal of Math for Industry, 4, 105-108, 2012.10.
16. Fumio Hiroshima and Jozsef Lorinczi, Lieb-Thirring bound for Schroedinger operators with Bernstein function of the Laplacian, Commun. on Stochastic Anal., 6, 589-602, 2012.10.
17. Fumio Hiroshima, Itaru Sasaki, Herbert Spohn and Akito Suzuki , Enhanced binding in quantum field theory , COE Lecture Note (Kyushu University), 38, 206ページ, 2012.03.
18. C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki, Removal of the UV cutoff for the Nelson model with variable coefficients, Lett Math Phys, 101, 305--322, 2012.03.
19. C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki, Absence of ground state of the Nelson model with a variable mass, J. Funct. Anal., 262, 1, 273--299, 2012.01.
20. V.Betz, F.Hiroshima and J. Lorinczi, Feynman-Kac-Type Theorems and Gibbs Measures on Path Space. With Applications into Rigorous Quantum Field Theory, de Gruyter Studies in Mathematics , 507ページ, 34, 2011.07.
21. C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki, Infrared problem for the Nelson model with variable coefficients, Communications in Mathematical Physics, 308, 2, 543--566, 2011.03.
22. Fumio Hiroshima, Herbert Spohn and Akito Suzuki, The no-enhanced regime of the Pauli-Fierz model, J. Math. Phys. , 52 , 062104 , 2011.02.
23. Fumio Hiroshima and Itaru Sasaki, On the ionaization energy of semi-relativistic Pauli-Fierz model for a single particle, RIMS Kokyuroku Bessatsu, 21, 25-34, 2010.12.
24. C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki, Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime, RIMS Kokyuroku Bessatsu, 21, 15-24, 2010.12.
25. Takeru Hidaka and Fumio Hiroshima , Pauli-Fierz model with Kato-class potentials and exponetial decays, Rev. Math. Phys. , 22, 1181-1208, 2010.04.
26. Fumio Hiroshima, Sotaro Kuribayashi and Itaru Sasaki, Self-adjoint extensions of momentum operators:application of weak Weyl relations, J. Math-for-Industry, to appear , 2010.04.
27. F. Hiroshima and A. Suzuki, Physical State for nonrelativistic quantum electrodynamics, Ann. Henri Poincare, 10, 913-953, 2009.05.
28. F. Hiroshima, T. Ichinose and J. Lorinczi, Path integral representation for generalized Schrodinger operators with Bernstein function of the Laplacian, Rev Math Phys, 24, 1250013(40pages), 2009.03.
29. C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki, Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold., Interdisplinary Information Science , 15, 399-422, 2009.03.
30. Fumio Hiroshima and Volker Betz, Gibbs measures with double stochastic integrals on path space
, Infinite Dimensional Analysis and Quantum Probability., 12, 135-152, 2009.03.
31. Fumio Hiroshima, Yasumichi Matsuzawa, Sotaro Kuribayashi, Strong time operators associated with generalized Hamiltonians, Lett Math Phys, 87, 115-123.
, 2009.01.
32. Fumio Hiroshima, Perturbation of embedded eigenvalues in quantum field theory, Sugaku Exp., 21, 177-207., 2008.12.
33. Fumio Hiroshima and Itaru Sasaki, Enhanced binding of an $N$ particle system interacting with a scalar field I, Math. Z. , 259, 657-680, 2008.04.
34. Fumio Hiroshima and Jozsef Lorinczi, Functional integral representations of nonrelativistic quantum electrodynamics with spin 1/2 , J. Funct. Anal. , 254, 2127--2185, 2008.03.
35. Fumio Hiroshima, Fiber Hamiltonians in nonrelativistic quantum electrodynamics, J. Funct. Anal. , 252, 314-355, 2007.10.
36. Asao Arai, Masao Hirokawa and Fumio Hiroshima, Regularites of ground states of quantum field models , Kyushu J. Math. , 61, 321--372, 2007.10.
37. Fumio Hiroshima and KR Ito, Mass renormalization in non-relativistic QED with spin 1/2, Rev. Math. Phys., 19, 405-454, 2007.05.
38. Masao Hirokawa, Fumio Hiroshima and Herbert Spohn, Ground state for point particle interacting through a massless scalar Bose field, Adv. in Math., 191, 339-392, 2005.01.
39. Fumio Hiroshima, Multiplicity of ground states in quantum field models:applications of aymptotic fields, J. Funct. Anal., 10.1016/j.jfa.2005.03.004, 224, 2, 431-470, 224, 431-470, 2005.01.
40. Fumio Hiroshima and Herbert Spohn, Mass renormalization in nonrelativistic QED, J. Math. Phys., 46, 042302, 2005.01.
41. Fumio Hiroshima and K.R. Ito, Local exponent and infinitesimal generators of proper canonical  transformations on a Boson Fock space, Infinite Dimensional Analysis, Quantum Probaility and Related Topics, 7, 547-572, 2004.10.
42. Fumio Hiroshima, Analysis of ground states of atoms interacting with a quantized radiation field, Topics in the theory of Schrodinger operators , 145-272, 2004.01.
43. Fumio Hiroshima, Localization of the number of photons of nonrelativistic QED, Rev. Math. Phys., 15, 271-312, 2003.01.
44. Fumio Hiroshima, Nonrelativistic QED at large momentum of photons, Garden of Quanta, 167-196, 2003.01.
45. Fumio Hiroshima, Embedded eigenvalues, localization and asymptotics of quantum field models: a functional integral approach, J. Phys. A: Math. Gen., 35, 351-375, 2002.04.
46. Fumio Hiroshima, Observable effect and parametrized scaling limits of a model in nonrelativistic quantum electrodynamics, J. Math. Phys., 43, 1755-1795, 2002.01.
47. Fumio Hiroshima, Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants, Ann. Henri Poincare, 3, 171-201, 2002.01.
48. Volker Betz, Fumio Hiroshima, Jozsef Lorinczi Herbert Spohn and Robert Minlos, Ground state properties of the Nelson Hamiltonian-A Gibbs measure-based approach, Rev. Math. Phys., 14, 173-198, 2002.01.
49. Fumio Hiroshima and Herbert Spohn, Enhanced binding through coupling to a quantum field, Ann. Henri Poincare, 2, 1159-1187, 2001.01.
50. Fumio Hiroshima, Ground states and spectrum of quantum electrodynamics of non-relativistic particles, Trans. Amer. Math. Soc. , 353, 4497-4528, 2001.01.
51. Fumio Hiroshima and Herbert Spohn, Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin, Adcvances in Theoretical and hematical Physics, 5, 1091-1104, 2001.01.
52. Fumio Hiroshima, Euclidean Gell-Mann-Low formula and double stochastic integrals, Canadaian Math. Soc., Stochastic Processes, Physics and Geometry: New Interplays, 29, 285-292, 2000.10.
53. Fumio Hiroshima, Essential self-adjointness of translation-invariant quantum field models for arbitrary coupling constants, Commun. Math. Phys., 211, 585-613, 2000.01.
54. Fumio Hiroshima, Ground states of a model in nonrelativistic quantum electrodynamics II, J. Math. Phys., 41, 661-674, 2000.01.
55. Asao Arai, Masao Hirokawa and Fumio Hiroshima, On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff, J. Funct. Anal., 168, 470-497, 1999.01.
56. Fumio Hiroshima, Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a quantized scalar field, J. Math. Phys., 40,1215-1236, 1999.01.
57. Fumio Hiroshima, Ground states of a model in nonrelativistic quantum electrodynamics I, J. Math. Phys, 40, 6209-6222, 1999.01.
58. Fumio Hiroshima , Weak coupling limit and a removal of an ultraviolet cutoff and a Hamiltonian of particles interacting with a massive scalar field, Inf. Dim. Anal. and Quntum Prob. Relat. Top., 1, 407--423, 1998.09.
59. Fumio Hiroshima, Functional integral representation of a model in quantum electrodynamics, Rev. Math. Phys., 9, 489--530, 1997.09.
60. Fumio Hiroshima , Asymptotic behaviors of an interaction Hamiltonian, Nonlinear Analysis, 30, 4863--4874, 1997.09.
61. Fumio Hiroshima , Scaling limit of a model of quantum electrodynamics with many nonrelativistic particles, Rev. Math. Phys., 9, 201--225, 1997.09.
62. Fumio Hiroshima, Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field, Rev. Math. Phys., 8, 185--203, 1996.09.
63. Fumio Hiroshima , Scaling limit of a model in quantum electrodynamics, J. Math. Phys., 34, 4478--4518, 1993.09.