Absence of excited eigenvalues for Fr\"ohlich type polaron models at weak coupling

TL;DR

This paper proves that for certain polaron models, including Fröhlich, no excited eigenvalues exist below the essential spectrum at weak coupling, clarifying spectral properties of these quantum systems.

Contribution

It establishes the absence of excited eigenvalues at weak coupling for a class of polaron models, including the Fröhlich model, at zero total momentum.

Findings

No excited eigenvalues below the essential spectrum at weak coupling

Results apply to a class of polaron models including Fröhlich

Spectral properties are clarified at zero total momentum

Abstract

We consider a class of polaron models, including the Fr\"ohlich model, at zero total momentum, and show that at sufficiently weak coupling there are no excited eigenvalues below the essential spectrum.