Oscillatory Behavior of Large Eigenvalues in Quantum Rabi Models - Sorbonne Université
Article Dans Une Revue International Mathematics Research Notices Année : 2021

Oscillatory Behavior of Large Eigenvalues in Quantum Rabi Models

Résumé

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 1st three terms of the asymptotics that determine the parameters of the model. This paper is based on our previous paper [5] that it completes and improves.
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Dates et versions

hal-03375340 , version 1 (12-10-2021)

Identifiants

Citer

Anne Boutet de Monvel, Lech Zielinski. Oscillatory Behavior of Large Eigenvalues in Quantum Rabi Models. International Mathematics Research Notices, 2021, 2021 (7), pp.5155-5213. ⟨10.1093/imrn/rny294⟩. ⟨hal-03375340⟩
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