Asymptotic behavior of large eigenvalues of Jaynes-Cummings type models (1503.05841v2)

Published 19 Mar 2015 in math-ph and math.MP

Abstract: We consider a class of unbounded self-adjoint operators including the Hamiltonian of the Jaynes-Cummings model without 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.

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