3 papers
math-ph2025
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…
math-ph2025
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…
math-ph2024
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…