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.

arXiv comment9 pages

References in corpus (4)

• Erratum: Exact Ground State Energy of the Strong-Coupling Polaron
• Self-Adjointness and Domain of the Froehlich Hamiltonian
• 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