Hiroshima, Fumio, Ichinose, Takashi, Lorinczi, Jozsef
Path integral representations for generalized Schr\"odinger operators obtained under a class of Bernstein functions of the Laplacian are established. The one-to-one correspondence of Bernstein...
Strong time operators associated with generalized Hamiltonians (2008)
Hiroshima, Fumio, Kuribayashi, Sotaro, Matsuzawa, Yasumichi
Let the pair of operators, $(H, T)$, satisfy the weak Weyl relation: $Te^{-itH} = e^{-itH}(T + t)$, where $H$ is self-adjoint and $T$ is closed symmetric. Suppose that g is a realvalued Lebesgue...
Physical state for non-relativistic quantum electrodynamics (2008)
Hiroshima, Fumio, Suzuki, Akito
A physical subspace and physical Hilbert space associated with asymptotic fields of nonrelativistic quantum electrodynamics are constructed through the Gupta-Bleuler procedure. Asymptotic...
Physical state of non-relativistic quantum electrodynamics (2008)
Hiroshima, Fumio, Suzuki, Akito
912
Fumio Hiroshima, Herbert Spohn
The Pauli-Fierz Hamiltonian describes an interaction between a low energy electron and photons. Existence of ground states has been established. The purpose of this talk is to show that its ground...
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...
Gibbs measures with double stochastic integrals on a path space (2007)
Betz, Volker, Hiroshima, Fumio
We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is...
Functional Integral Representation of the Pauli-Fierz Model with Spin 1/2 (2007)
Hiroshima, Fumio, Lorinczi, Jozsef
A Feynman-Kac-type formula for a L\'evy and an infinite dimensional Gaussian random process associated with a quantized radiation field is derived. In particular, a functional integral representation...
Enhanced binding for N-particle system interacting with a scalar bose field I (2007)
Hiroshima, Fumio, Sasaki, Itaru
845
Functional Integral Representation of the Pauli-Fierz Model with Spin 1/2 (2007)
Fumio Hiroshima, József Lőrinczi
A Feynman-Kac-type formula for a Lévy and an infinite dimensional Gaussian random process associated with a quantized radiation field is derived. In particular, a functional integral representation...
Enhanced binding for N-particle system interacting with a scalar bose field I (2006)
Hiroshima, Fumio, Sasaki, Itaru
An enhanced binding of an $N$-particle system interacting through a scalar bose field is investigated, where $N\geq 2$. It is not assumed that this system has a ground state for a zero coupling. It...
Fiber Hamiltonians in the non-relativistic quantum electrodynamics (2006)
A translation invariant Hamiltonian $H$ in the nonrelativistic quantum electrodynamics is studied. This Hamiltonian is decomposed with respect to the total momentum $\tot$: $$H=\int_{\BR} ^\oplus...
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...
Multiplicity of ground states in quantum field models: applications of asymptotic fields (2004)
The ground states of an abstract model in quantum field theory are investigated. By means of the asymptotic field theory, we give a necessary and sufficient condition for that the expectation value...
Mass renormalization in nonrelativistic QED (2003)
Hiroshima, Fumio, Spohn, Herbert
In nonrelativistic QED the charge of an electron equals its bare value, whereas the self-energy and the mass have to be renormalized. In our contribution we study perturbative mass renormalization,...
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...
Localization of the number of photons of ground states in nonrelativistic QED (2002)
One electron system minimally coupled to a quantized radiation field is considered. It is assumed that the quantized radiation field is {\it massless}, and {\it no} infrared cutoff is imposed. The...
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach (2002)
Volker Betz, Fumio Hiroshima, Robert A. Minlos, Herbert Spohn
The Nelson model describes a quantum particle coupled to a scalar Bose eld. We study properties of its ground state through functional integration techniques in case the particle is conned by an...
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach (2001)
Betz, Volker, Hiroshima, Fumio, Lorinczi, Jozsef, Minlos, Robert A., Spohn, Herbert
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on...