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  3. On the spectrum of an operator in truncated Fock space

On the spectrum of an operator in truncated Fock space

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DOI
10.7892/boris.125529
Abstract
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.
Date Issued
2018
Publication Type
Book Section
Subject(s)
500 Science > 510 Mathematics
Language(s)
en
Author(s)
Ibrogimov, Orif  
Mathematisches Institut (MAI)  
Tretter, Christiane  
Mathematisches Institut (MAI)  
Editor(s)
Alpay, Daniel
Kirstein, Bernd
Additional Credits
Mathematisches Institut (MAI)  
Publisher
Birkhäuser/Springer
ISSN
0255-0156
ISBN
978-3-319-68848-0
Book Title
Indefinite inner product spaces, Schur analysis, and differential equations
Access(Rights)
restricted
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