Ibrogimov, OO;
(2018)
Spectral Analysis of the Spin-Boson Hamiltonian with Two Photons for Arbitrary Coupling.
Annales Henri Poincaré
, 19
(11)
pp. 3561-3579.
10.1007/s00023-018-0725-z.
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Abstract
We study the spectrum of the spin-boson model with two photons in R^{d} for arbitrary coupling α>0 . It is shown that the discrete spectrum is finite and the essential spectrum consists of a half-line, the bottom of which is a unique zero of a simple Nevanlinna function. Besides the simplicity and more abstract nature of our approach, the main novelty is the achievement of these results under minimal regularity conditions on the photon dispersion and the coupling function.
| Type: | Article |
|---|---|
| Title: | Spectral Analysis of the Spin-Boson Hamiltonian with Two Photons for Arbitrary Coupling |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00023-018-0725-z |
| Publisher version: | http://doi.org/10.1007/s00023-018-0725-z |
| Language: | English |
| Additional information: | © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10064214 |
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