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...
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...
Transition of Ground State of Boson-Fermion Model and Renormalizable Field Theory (2001)
this paper, we reconsider the Lee model in the light of the renormalizable field theory in the early stage and quantum optics for the case including the large coupling length. More precisely, we...
For the ground state energy of the spin-boson (SB) model, we give a new upper bound in the case with infrared singularity condition (i.e., without infrared cutoff), and a new lower bound in the case...
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...
HICSS-27 --- Emerging Paradigms (Revised version), 93.9.29 (Original version --- (1996)
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...
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...