期刊
REVIEWS IN MATHEMATICAL PHYSICS
卷 18, 期 5, 页码 485-517出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129055X0600267X
关键词
polaron; Nelson model; gound state; essential spectrum
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.
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