JournalsjstVol. 7, No. 2pp. 559–631

Asymptotic behavior of large eigenvalues of Jaynes–Cummings type models

  • Anne Boutet de Monvel

    Université Paris Diderot, France

  • Lech Zielinski

    Université du Littoral, Calais, France
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Abstract

We consider a class of unbounded self-adjoint operators including the Hamiltonian of the Jaynes–Cummings model with the rotating-wave approximation (RWA). The corresponding operators are defined by infinite Jacobi matrices with discrete spectrum. Our purpose is to give the asymptotic behavior of large eigenvalues.

Cite this article

Anne Boutet de Monvel, Lech Zielinski, Asymptotic behavior of large eigenvalues of Jaynes–Cummings type models. J. Spectr. Theory 7 (2017), no. 2, pp. 559–631

DOI 10.4171/JST/172