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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Monvel et al. (2021) studied this question.
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