Muminov, M. and Neidhardt, H. and Rasulov, T. (2014) On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case. Journal of Mathematical Physics, 56 (5). pp. 1-29. ISSN 0022-2461
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Official URL: http://dx.doi.org/10.1063/1.4921169
Abstract
A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two photons is considered. The location of the essential spectrum is described. For any coupling constant, the finiteness of the number of eigenvalues below the bottom of its essential spectrum is proved. The results are obtained by considering a more general model H for which the lower bound of its essential spectrum is estimated. Conditions which guarantee the finiteness of the number of eigenvalues of H below the bottom of its essential spectrum are found. It is shown that the discrete spectrum might be infinite if the parameter functions are chosen in a special form.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | lattice model , spin-boson model |
| Subjects: | Q Science > QC Physics |
| Divisions: | Science |
| ID Code: | 58686 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 04 Dec 2016 04:07 |
| Last Modified: | 24 Apr 2022 05:00 |
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