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Mathematical Physics

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

Authors: Robert Seiringer
(Submitted on 31 Oct 2022)
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.
Comments: 9 pages
Subjects: Mathematical Physics (math-ph); Materials Science (cond-mat.mtrl-sci); Spectral Theory (math.SP)
Journal reference: J. Spectr. Theory 13 (2023), no. 3, pp. 1045-1055
DOI: 10.4171/JST/469
Cite as: arXiv:2210.17123 [math-ph]
  (or arXiv:2210.17123v1 [math-ph] for this version)

Submission history

From: Robert Seiringer [view email]
[v1] Mon, 31 Oct 2022 08:03:03 GMT (8kb)
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