On the spectrum of an operator in truncated Fock space

Ibrogimov, Orif; Tretter, Christiane (2018). On the spectrum of an operator in truncated Fock space. In: Alpay, Daniel; Kirstein, Bernd (eds.) Indefinite inner product spaces, Schur analysis, and differential equations. Operator Theory: Advances and Applications: Vol. 263 (pp. 321-334). Cham: Birkhäuser/Springer

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We study the spectrum of an operator matrix arising in the spectral analysis of the energy operator of the spin-boson model of radioactive decay with two bosons on the torus. An analytic description of the essential spectrum is established. Further, a criterion for the finiteness of the number of eigenvalues below the bottom of the essential spectrum is derived.

Item Type:

Book Section (Book Chapter)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Ibrogimov, Orif and Tretter, Christiane

Subjects:

500 Science > 510 Mathematics

ISSN:

0255-0156

ISBN:

978-3-319-68848-0

Series:

Operator Theory: Advances and Applications

Publisher:

Birkhäuser/Springer

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

15 May 2019 18:34

Last Modified:

22 Oct 2019 18:57

ArXiv ID:

1612.05459v3

BORIS DOI:

10.7892/boris.125529

URI:

https://boris.unibe.ch/id/eprint/125529

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