Oscillatory behavior of large eigenvalues in quantum Rabi models

Anne Boutet de Monvel; Lech Zielinski

arxiv: 1711.03366 · v2 · pith:57L5VZOYnew · submitted 2017-11-09 · 🧮 math-ph · math.MP

Oscillatory behavior of large eigenvalues in quantum Rabi models

Anne Boutet de Monvel , Lech Zielinski This is my paper

classification 🧮 math-ph math.MP

keywords asymptoticslargemodelquantumrabibehaviorcaseclass

0 comments

read the original abstract

We investigate the large $n$ asymptotics of the $n$-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.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Essentially singular limits of Jacobi operators and applications to higher-order squeezing
math-ph 2026-05 unverdicted novelty 6.0

Jacobi operators with λ-scaled diagonals exhibit essentially singular limits as λ→0, with subsequential strong resolvent convergence to any self-adjoint extension of the limit, applied to show non-unique selection in ...