5 papers · 1 filter
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…
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…