On the spectrum of an operator in truncated Fock space
Spectral Theory
2018-01-23 v3
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.
Cite
@article{arxiv.1612.05459,
title = {On the spectrum of an operator in truncated Fock space},
author = {Orif O. Ibrogimov and Christiane Tretter},
journal= {arXiv preprint arXiv:1612.05459},
year = {2018}
}
Comments
In this version a number of typos have been corrected. 14 pages