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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…