Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvalues

Details Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvalues Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvalues

2002-11-22

arxiv.org/abs/math-ph/0211055v1

Physics

Mathematical Physics

12 pages, MikTeX

Scientific paper

In this paper the perturbation theory with the frequency of transition in atom as perturbation parameter is constructed. The estimation of the reminder term of series of this perturbation theory is given. With the help of this perturbation theory we have found an exact asymptotics of eigenvalues of complete hamiltonian in the limit of high quantum numbers. It is shown that the counter-rotating terms keep a leading term but absolutely change a second term of this asymptotic.

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