Journal
REVIEWS IN MATHEMATICAL PHYSICS
Volume 18, Issue 5, Pages 485-517Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129055X0600267X
Keywords
polaron; Nelson model; gound state; essential spectrum
Categories
Ask authors/readers for more resources
In recent years, the spectral properties of the translation invariant Nelson model has been studied. Some of the results obtained did not extend to the related polaron model for technical reasons related to the typical assumption of boundedness of the phonon dispersion relation in the polaron model. In this paper, we work with a large class of linearly coupled translation invariant models which includes both the Nelson model and H. Frohlich's polaron model. The problems considered are chosen based on relevance for the polaron model. A key input is an analysis of the behavior of the bottom of the spectrum of the fiber Hamiltonians at large total momentum.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available