53 citations · 254 across the 48 of their papers we have counts for
51 papers
Ordering of Energy Levels in the Fröhlich Model
Fumio Hiroshima, Akihiro Kobayashi, Tadahiro Miyao +1
Consider a one-dimensional system of \( N \) electrons subject to an external potential \( U \). Let \( E_{\rm el}(S) \) denote the ground state energy of the system with total spi…
Two-sided bounds on the point-wise spatial decay of ground states in the renormalized Nelson model with confining potentials
Fumio Hiroshima, Oliver Matte
We study the renormalized Nelson model for a scalar matter particle in a continuous confining potential interacting with a possibly massless quantized radiation field. When the rad…
On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups
Benjamin Hinrichs, Fumio Hiroshima
We present a simple functional integration based proof that the semigroups generated by the ultraviolet-renormalized translation-invariant non- and semi-relativistic Nelson Hamilto…
Towards a derivation of Classical ElectroDynamics of charges and fields from QED
Zied Ammari, Marco Falconi, Fumio Hiroshima
The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agre…
Ground states and associated path measures in the renormalized Nelson model
Fumio Hiroshima, Oliver Matte
We prove the existence, uniqueness, and strict positivity of ground states of the possibly massless renormalized Nelson operator under an infrared regularity condition and for Kato…
Threshold of discrete Schrödinger operators with delta potentials on -dimensional lattice
Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov
Eigenvalue behaviors of Schrödinger operator defined on -dimensional lattice with delta potentials is studied. It can be shown that lower threshold eigenvalue and lower th…