On the existence and uniqueness of ground states of a generalized spin-boson model A Arai, M Hirokawa journal of functional analysis 151 (2), 455-503, 1997 | 188 | 1997 |
On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff A Arai, M Hirokawa, F Hiroshima Journal of functional analysis 168 (2), 470-497, 1999 | 83 | 1999 |
Ground state for point particles interacting through a massless scalar Bose field M Hirokawa, F Hiroshima, H Spohn Advances in Mathematics 191 (2), 339-392, 2005 | 78 | 2005 |
Ground states of a general class of quantum field Hamiltonians A Arai, M Hirokawa Reviews in Mathematical Physics 12 (08), 1085-1135, 2000 | 69 | 2000 |
Spin-boson model through a Poisson-driven stochastic process M Hirokawa, F Hiroshima, J Lőrinczi Mathematische Zeitschrift 277, 1165-1198, 2014 | 44 | 2014 |
Absence of energy level crossing for the ground state energy of the Rabi model M Hirokawa, F Hiroshima arXiv preprint arXiv:1207.4020, 2012 | 38 | 2012 |
Infrared catastrophe for Nelson’s model—non-existence of ground state and soft-boson divergence M Hirokawa Publications of the Research Institute for Mathematical Sciences 42 (4), 897-922, 2006 | 37 | 2006 |
Stochastic problem solving by local computation based on self-organization paradigm Kanada, Hirokawa 1994 Proceedings of the Twenty-Seventh Hawaii International Conference on …, 1994 | 37 | 1994 |
Remarks on the ground state energy of the spin-boson model: An application of the Wigner–Weisskopf model M Hirokawa Reviews in Mathematical Physics 13 (02), 221-251, 2001 | 35 | 2001 |
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs C Hainzl, M Hirokawa, H Spohn Journal of Functional Analysis 220 (2), 424-459, 2005 | 31 | 2005 |
An expression of the ground state energy of the Spin-Boson model M Hirokawa Journal of functional analysis 162 (1), 178-218, 1999 | 30 | 1999 |
Ground state of a spin-1/2 charged particle in a two-dimensional magnetic field M Hirokawa, O Ogurisu Journal of Mathematical Physics 42 (8), 3334-3343, 2001 | 23 | 2001 |
The Dicke-type crossings among eigenvalues of differential operators in a class of non-commutative oscillators M Hirokawa Indiana University mathematics journal, 1493-1535, 2009 | 19 | 2009 |
Stability of ground states in sectors and its application to the Wigner–Weisskopf model A Arai, M Hirokawa Reviews in Mathematical Physics 13 (04), 513-528, 2001 | 19 | 2001 |
The Rabi model gives off a flavor of spontaneous SUSY breaking M Hirokawa Quantum Studies: Mathematics and Foundations 2 (4), 379-388, 2015 | 18 | 2015 |
On the existence and uniqueness of ground states of the spin-boson Hamiltonian A Arai, M Hirokawa Hokkaido University Preprint Series in Mathematics 309, 2-20, 1995 | 15 | 1995 |
Regularities of ground states of quantum field models A Arai, M Hirokawa, F Hiroshima Kyushu journal of mathematics 61 (2), 321-372, 2007 | 12 | 2007 |
Recent developments in mathematical methods for models in non-relativistic quantum electrodynamics M Hirokawa A Garden of Quanta: Essays in Honor of Hiroshi Ezawa, 209-242, 2003 | 12 | 2003 |
Ground state transition for two-level system coupled with Bose field M Hirokawa Physics Letters A 294 (1), 13-18, 2002 | 12 | 2002 |
Rigorous construction of Liouville spaces and thermo field dynamics for bosonic systems in mathematics M Hirokawa Annals of Physics 223 (1), 1-36, 1993 | 11 | 1993 |