Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation; Arxiv.org

Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation; Arxiv.org

Dettagli Bibliografici
Parent link:Arxiv.org.— 2006.— Mathematical Physics
Autore principale: Lisok A. L. Aleksandr Leonidovich
Altri autori: Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Riassunto:Title screen
For the nonlocal T-periodic Gross–Pitaevsky operator, formal solutions of the Floquet problem asymptotic in small parameter h, h-- 0, up to Q(h3/2) 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 Q(h3/2) in the class of trajectory-concentrated functions. The Aharonov–Anandan phases have been calculated for the quasi-energy states
Lingua:inglese
Pubblicazione: 2006
Soggetti:
электронный ресурс
труды учёных ТПУ
Accesso online:http://arxiv.org/abs/math-ph/0612017
Natura: xMaterials Elettronico Capitolo di libro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636500

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200 1 |a Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation  |f A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov 
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330 |a For the nonlocal T-periodic Gross–Pitaevsky operator, formal solutions of the Floquet problem asymptotic in small parameter h, h-- 0, up to Q(h3/2) 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 Q(h3/2) in the class of trajectory-concentrated functions. The Aharonov–Anandan phases have been calculated for the quasi-energy states 
463 |t Arxiv.org  |v Mathematical Physics  |d 2006 
610 1 |a электронный ресурс 
610 1 |a труды учёных ТПУ 
700 1 |a Lisok  |b A. L.  |c physicist  |c Associate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences  |f 1981-  |g Aleksandr Leonidovich  |3 (RuTPU)RU\TPU\pers\31739  |9 15852 
701 1 |a Trifonov  |b A. Yu.  |c physicist, mathematician  |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences  |f 1963-  |g Andrey Yurievich  |3 (RuTPU)RU\TPU\pers\30754 
701 1 |a Shapovalov  |b A. V.  |c mathematician  |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences  |f 1949-  |g Aleksandr Vasilyevich  |3 (RuTPU)RU\TPU\pers\31734 
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856 4 |u http://arxiv.org/abs/math-ph/0612017 
942 |c CF 

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