Oscillatory behavior of large eigenvalues in quantum Rabi models
Mathematical Physics
2018-10-15 v2 math.MP
Abstract
We investigate the large asymptotics of the -th eigenvalue for a class of unbounded self-adjoint operators defined by infinite Jacobi matrices with discrete spectrum. In the case of the quantum Rabi model we obtain the first three terms of the asymptotics which determine the parameters of the model. This paper is based on our previous paper [5] that it completes and improves.
Keywords
Cite
@article{arxiv.1711.03366,
title = {Oscillatory behavior of large eigenvalues in quantum Rabi models},
author = {Anne Boutet de Monvel and Lech Zielinski},
journal= {arXiv preprint arXiv:1711.03366},
year = {2018}
}
Comments
32 pages, no figure