Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation

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Abstract

For a nonlocal Gross-Pitaevskii operator, quasi-energy spectral series have been constructed accurate to O(Latin small letter h with stroke3/2). These series correspond to the closed phase trajectories of the Hamilton-Ehrenfest system, which are stable in a linear approximation. The corresponding monodromy operator has been constructed accurate to Õ(Latin small letter h with stroke3/2) in the class of trajectory-coherent functions.

Original languageEnglish
Pages (from-to)695-709
Number of pages15
JournalRussian Physics Journal
Volume50
Issue number7
DOIs
Publication statusPublished - 1 Jul 2007

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trajectories
operators
energy
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation",
abstract = "For a nonlocal Gross-Pitaevskii operator, quasi-energy spectral series have been constructed accurate to O(Latin small letter h with stroke3/2). These series correspond to the closed phase trajectories of the Hamilton-Ehrenfest system, which are stable in a linear approximation. The corresponding monodromy operator has been constructed accurate to {\~O}(Latin small letter h with stroke3/2) in the class of trajectory-coherent functions.",
author = "Lisok, {Alexander Leonidovich} and Trifonov, {A. Yu} and Shapovalov, {Aleksandr Vasilievich}",
year = "2007",
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doi = "10.1007/s11182-007-0104-6",
language = "English",
volume = "50",
pages = "695--709",
journal = "Russian Physics Journal",
issn = "1064-8887",
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AU - Trifonov, A. Yu

AU - Shapovalov, Aleksandr Vasilievich

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Y1 - 2007/7/1

N2 - For a nonlocal Gross-Pitaevskii operator, quasi-energy spectral series have been constructed accurate to O(Latin small letter h with stroke3/2). These series correspond to the closed phase trajectories of the Hamilton-Ehrenfest system, which are stable in a linear approximation. The corresponding monodromy operator has been constructed accurate to Õ(Latin small letter h with stroke3/2) in the class of trajectory-coherent functions.

AB - For a nonlocal Gross-Pitaevskii operator, quasi-energy spectral series have been constructed accurate to O(Latin small letter h with stroke3/2). These series correspond to the closed phase trajectories of the Hamilton-Ehrenfest system, which are stable in a linear approximation. The corresponding monodromy operator has been constructed accurate to Õ(Latin small letter h with stroke3/2) in the class of trajectory-coherent functions.

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