12 citations · 29 across the 13 of their papers we have counts for
15 papers
A remark on the binding condition by the decay of particle's potential
Toshimitsu Takaesu
The system of a particle interacting with a Bose field is investigated. It is proven that the binding condition holds by the decay of particle's potential. As an application, the e…
The multiplicity of the ground state of a generalized particle system interacting with a massless Bose field
Toshimitsu Takaesu
A generalized particle system interacting with a massless Bose field is investigated. We assume regularity conditions for the commutation relations of the interaction and annihilat…
The first order expansion of a ground state energy of the model with cutoffs
Toshimitsu Takaesu
In this paper, we investigate the model with cutoffs. By introducing a spatial cutoff and a momentum cutoff, the total Hamiltonian is a self-adjoint operator on a boson Fock…
Construction of solutions of the classical field equation for a massless Klein-Gordon field coupled to a static source
Toshimitsu Takaesu
In this paper, we consider a system of a massless Klein-Gordon field coupled to a static source. The total Hamiltonian is a self-adjoint operator on a boson Fock space. We consider…
Ground States of Quantum Electrodynamics with Cutoffs
Toshimitsu Takaesu
In this paper, we investigate a system of quantum electrodynamics with cutoffs. The total Hamiltonian is defined on a tensor product of a fermion Fock space and a boson Fock. It is…
Essential spectrum of a fermionic quantum field model
Toshimitsu Takaesu
An interaction system of a fermionic quantum field is considered. The state space is defined by a tensor product space of a fermion Fock space and a Hilbert space. It is assumed th…
Functional Integral Representation for Relativistic Schrodinger Operator Coupled to a Scalar Bose Field with Interaction
Toshimitsu Takaesu
In this paper the system of a semi-relativistic particle interacting with a scalar Bose field is investigated. The ultraviolet cutoff condition is imposed on the Bose field. In the…
A Probabilistic Representation of the Ground State Expectation of Fractional Powers of the Boson Number Operator
Fumio Hiroshima, Jozsef Lorinczi, Toshimitsu Takaesu
We give a formula in terms of a joint Gibbs measure on Brownian paths and the measure of a random-time Poisson process of the ground state expectations of fractional (in fact, any…
A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra
Toshimitsu Takaesu
In this article we consider linear operators satisfying a generalized commutation relation of a type of the Heisenberg-Lie algebra. It is proven that a generalized inequality of th…
Essential Self-Adjointness of Anti-Commutative Operators
Toshimitsu Takaesu
In this article, the self-adjoint extensions of symmetric operators satisfying anti-commutation relations are considered. It is proven that an anti-commutative type of the Glimm-Ja…
Scaling Limits for the System of Semi-Relativistic Particles Coupled to a Scalar Bose Field
Toshimitsu Takaesu
In this paper the Hamiltonian for the system of semi-relativistic particles interacting with a scalar bose field is investigated. A scaled total Hamiltonian of the system is define…
Scaling limits with a removal of ultraviolet cutoffs for semi-relativistic particles system coupled to a scalar Bose field
Toshimitsu Takaesu
The system of semi-relativistic particles coupled to a scalar Bose field is considered. A scaled total Hamiltonian for the system is a self-adjoint operator on a tensor product of…
Ground States of the Yukawa models with Cutoffs
Toshimitsu Takaesu
Ground states of the so called Yukawa model is considered. The Yukawa model describes a Dirac field interacting with a Klein-Gordon field. By introducing both ultraviolet cutoffs a…
Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs
Toshimitsu Takaesu
In this paper the Hamiltonian of quantum electrodynamics with spatial cutoffs is investigated. We define a scaled total Hamiltonian and consider its asymptotic behavior. In the mai…
On the Spectral Analysis of Quantum Electrodynamics with Spatial Cutoffs. I
Toshimitsu Takaesu
In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is self-adjoint; (2) under the infrared r…