This paper is devoted to energy-spectral analysis for the system of a two-level atom coupled with photons in a cavity. It is shown that the Dicke-type energy level crossings take place when the...
Transition of Ground State of Boson-Fermion Model and Renormalizable Field Theory (2007)
Recently, mathematical techniques for non-perturbative way to analyze models in quantum electrodynamics (QED) are developing gradually. In the development, we face some cases so that we cannot...
REGULARITIES OF GROUND STATES OF QUANTUM FIELD MODELS (2007)
Arai, Asao, Hirokawa, Masao, Hiroshima, Fumio, 新井, 朝雄, 広川, 真男, 廣島, 文生
Regularities and higher order regularities of ground states of quantum field models are investigated through the fact that asymptotic annihilation operators vanish ground states. Moreover, a...
Regularities of ground states of quantum field models (2007)
Arai, Asao, Hirokawa, Masao, Hiroshima, Fumio
Regularities and higher order regularities of ground states of quantum field models are investigated through the fact that asymptotic annihilation operators vanish ground states. Moreover a...
Stability of Formation of Large Bipolaron: Nonrelativistic Quantum Field Theory (2006)
We are concerned with the stability of formation of large bipolaron in a 3-dimensional (3D) crystal. This problem is considered in the framework of nonrelativistic quantum field theory. Thus, the...
Infrared Catastrophe and Carleman Operator(Spectral and Scattering Theory and Related Topics) (2006)
We mathematically study the infrared catastrophe for the Hamiltonian of Nelson's model when it has the external potential in a general class. For the model, we prove the pull-through formula on...
Regularities of ground states of quantum field models (2004)
Arai, Asao, Hirokawa, Masao, Hiroshima, Fumio
Regularities and higher order regularities of ground states of quantum field models are investigated through the fact that asymptotic annihilation operators vanish ground states. Moreover a...
Characterization of Infrared Catastrophe by The Carleman Operator and Its Singularity (2004)
This paper addresses some mathematical problems arising from the infrared (IR) catastrophe in quantum field theory. IR catastrophe is formulated and studied in operator theory, characterized by the...
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs (2003)
Hainzl, Christian, Hirokawa, Masao, Spohn, Herbert
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge $Ze$, $Z > 0$, fixed at the origin and an electron of...
Ground state for point particles interacting through a massless scalar Bose field (2002)
Hirokawa, Masao, Hiroshima, Fumio, Spohn, Herbert
We consider a massless scalar Bose field interacting with two particles, one of them infinitely heavy. Neither an infrared nor an ultraviolet cutoff is imposed. In case the charge of the particles is...
Infrared Catastrophe for Nelson's Model (2002)
We mathematically study the infrared catastrophe for the Hamiltonian of Nelson's model when it has the external potential in a general class. For the model, we prove the pull-through formula on...
Stability of Ground States in Sectors and Its Application to the Wigner-Weisskopf Model (2001)
We consider two kinds of stability (under a perturbation) of the ground state of a self-adjoint operator, being concerned with (i) the sector to which the ground state belongs and (ii) the uniqueness...
Ground States of a General Class of Quantum Field Hamiltonians (2000)
We consider a model of a quantum mechanical system coupled to a (massless) Bose field, called the generalized spin-boson model (A. Arai and M. Hirokawa, J. Funct. Anal. 151 (1997), 455-503), without...
Boson-Fermion System (Applications of Renormalization Group Methods in Mathematical Sciences) (2000)
Anomalous Pauli electron states for magnetic fields with tails (1999)
Exner, Pavel, Hirokawa, Masao, Ogurisu, Osamu
We consider a two-dimensional electron with an anomalous magnetic moment, g>2, interacting with a nonzero magnetic field B perpendicular to the plane which gives rise to a flux F. Recent results...
Stability of Ground States in Sectors and Its Application to the Wigner-Weisskopf Model (1999)
We consider two kinds of stability (under a perturbation) of the ground state of a self-adjoint operator, being concerned with (i) the sector to which the ground state belongs and (ii) the uniqueness...
Stochastic Problem Solving by Local Computation based on Self-organization Paradigm (1994)
We are developing a new problem-solving methodology based on a self-organization paradigm. To realize our future goal of self-organizing computational systems, we have to study computation based on...