Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation

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dc.creatorLisok, A. L.
dc.creatorTrifonov, A. Yu.
dc.creatorShapovalov, A. V.
dc.date2006-12-05
dc.date2007-02-03
dc.date.accessioned2026-07-07T07:44:19Z
dc.date.available2026-07-07T07:44:19Z
dc.descriptionFor the nonlocal $T$-periodic Gross-Pitaevsky operator, formal solutions of the Floquet problem asymptotic in small parameter $\hbar$, $\hbar\to0$, up to $O(\hbar^{3/2})$ 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 within $\hat O(\hbar^{3/2})$ in the class of trajectory-concentrated functions. The Aharonov-Anandan phases have been calculated for the quasi-energy states.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0612017
dc.identifierhttp://arxiv.org/abs/math-ph/0612017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123156
dc.subjectMathematical Physics
dc.titleQuasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation
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