On the spectrum of an operator in truncated Fock space

Orif O. Ibrogimov; Christiane Tretter

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arXiv · 1612.05459

On the spectrum of an operator in truncated Fock space

Orif O. Ibrogimov·Christiane Tretter

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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.

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Orif O. Ibrogimov, Christiane Tretter. 2016-12-16. On the spectrum of an operator in truncated Fock space. https://arxiv.org/abs/1612.05459

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