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, 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: |
05 Dec 2022 15:25 |
ArXiv ID: |
1612.05459v3 |
BORIS DOI: |
10.7892/boris.125529 |
URI: |
https://boris.unibe.ch/id/eprint/125529 |
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