Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling

Abstract

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

9 pages

References in corpus (2)

• On the global minimum of the energy-momentum relation for the polaron
• Ubiquity of bound states for the strongly coupled polaron

Cited by in corpus (2)

• Ubiquity of bound states for the strongly coupled polaron
• Bound excited states of Fröhlich polarons in one dimension