3 papers
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
Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains
Benjamin Hinrichs, Oliver Matte
We prove Feynman-Kac formulas for the semigroups generated by selfadjoint operators in a class containing Fröhlich Hamiltonians known from solid state physics. The latter model mul…
math-ph2023
Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions
Benjamin Hinrichs, Oliver Matte
In this proceeding we consider a translation invariant Nelson type model in two spatial dimensions modeling a scalar relativistic particle in interaction with a massive radiation f…