53 citations · 254 across the 48 of their papers we have counts for
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The Spectrum of Non-Local Discrete Schroedinger Operators with a delta-Potential
Fumio Hiroshima, József Lőrinczi
The behaviour of the spectral edges (embedded eigenvalues and resonances) is discussed at the two ends of the continuous spectrum of non-local discrete Schrödinger operators with a…
Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration
M. Gubinelli, F. Hiroshima, J. Lorinczi
Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perform ultraviolet renormalization by showing that in the zero cutoff limit a self-ad…
Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing
Fumio Hiroshima, Itaru Sasaki
The lowest eigenvalue of non-commutative harmonic oscillators is studied. It is shown that can be decomposed into four self-adjoint operators, and all the eigenvalues of ea…
Functional integral approach to semi-relativistic Pauli-Fierz models
Fumio Hiroshima
By means of functional integrations spectral properties of semi-relativistic Pauli-Fierz Hamiltonians in quantum electrodynamics is considered. Two self-adjoint extensions of a sem…
Periodic Solutions of Generalized Schrödinger Equations on Cayley Trees
Fumio Hiroshima, József Lörinczi, Utkir Rozikov
In this paper we define a discrete generalized Laplacian with arbitrary real power on a Cayley tree. This Laplacian is used to define a discrete generalized Schrödinger operator on…