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Название: Models of Two-Level Atoms in Quasiperiodic External Fields
Авторы: Wreszinski W.F., Casmeridis S.
Journal of Statistical Physics, Vol. 90, Nos. 3/4, 1998, p. 1061-1068.
We prove that the spectrum of the generalized quasienergy operator of a plane-polarized two-level atom in a strong external quasiperiodic electromagnetic field with nonzero constant Fourier component is pure point, under Diophantine conditions on the frequency ratio, and excluding a small subset of resonant values. The widespread belief that there may be only pure point spectrum in such models is briefly discussed in Section 2 and the circularly polarized case— a well-known soluble model—is revisited from the point of view of the quasienergy operator..