ar X iv : m at h - ph / 0 61 20 17 v 2 3 F eb 2 00 7 Quasi - energy spectral series and the Aharonov - Anandan phase for the nonlocal Gross – Pitaevsky equation
نویسندگان
چکیده
For the nonlocal T-periodic Gross–Pitaevsky operator, formal solutions of the Floquet problem asymptotic in small parameter , → 0, up to O(3/2) have been constructed. The quasi-energy spectral series found correspond to the closed phase trajectories of the Hamilton–Ehrenfest system which are stable in the linear approximation. The monodromy operator of this equation has been constructed to withinˆO(3/2) in the class of trajectory-concentrated functions. The Aharonov–Anandan phases have been calculated for the quasi-energy states.
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