Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices

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For tri-diagonal matrices arising in the simplified Jaynes--Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surface is irreducible.
38 pages

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Mathematical Physics, Functional Analysis, 47B36

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http://salesiana.dossiersoluciones.com/handle/123456789/58157

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0509030
 http://arxiv.org/abs/math-ph/0509030

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arXiv