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20062013
most citedNote on the spectrum of discrete Schrödinger operators

7 citations · 14 across the 5 of their papers we have counts for

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math-ph20131 cited

A Short Remark on the Polaron in the Semi-relativistic Pauli-Fierz Model

Itaru Sasaki

We consider the polaron of the spinless semi-relativistic Pauli-Fierz model. The Hamiltonian of the model is defined by $H(\mathbf{P}) = \sqrt{(\mathbf{P}-dΓ(\mathbf{k}) + e\bA)^2…

math-ph20133 cited

One Particle Binding of Many-Particle Semi-Relativistic Pauli-Fierz Model

Itaru Sasaki

It is shown that at least one particle is bound in the -particle semi-relativistic Pauli-Fierz model with negative potential $V(\bx)$. It is assumed that the particles have no s…

math-ph20127 cited

Note on the spectrum of discrete Schrödinger operators

Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1

The spectrum of discrete Schrödinger operator on the -dimensional lattice is considered, where denotes the discrete Laplacian and a delta function with mass at a s…

math-ph20073 cited

Boltzmann limit and quasifreeness for a homogenous Fermi gas in a weakly disordered random medium

Thomas Chen, Itaru Sasaki

We discuss some basic aspects of the dynamics of a homogenous Fermi gas in a weak random potential, under negligence of the particle pair interactions. We derive the kinetic scalin…

math-ph2006

Enhanced binding for N-particle system interacting with a scalar bose field I

Fumio Hiroshima, Itaru Sasaki

An enhanced binding of an -particle system interacting through a scalar bose field is investigated, where . It is not assumed that this system has a ground state for a…