Quasiparticles described by the Gross-Pitaevskii equation in the semiclassical approximation A. E. Kulagin, A. Y. Trifonov, A. V. Shapovalov
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ArticleSubject(s): Гросса-Питаевского уравнение нелокальное | квазичастицы | квазиклассические асимптотикиGenre/Form: статьи в журналах Online resources: Click here to access online
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Russian physics journal Vol. 58, № 5. P. 606-615Abstract: Semiclassical asymptotics of the two-dimensional nonlocal Gross–Pitaevskii equation are constructed. The dynamics of the initial state, being a superposition of two wave packets, is investigated. The discrepancy of the obtained solution is investigated. The constructed asymptotic solutions are interpreted as a description of the interaction of two quasiparticles in the semiclassical approximation. A system of equations for the quasiparticle dynamics is obtained.
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Semiclassical asymptotics of the two-dimensional nonlocal Gross–Pitaevskii equation are constructed. The dynamics of the initial state, being a superposition of two wave packets, is investigated. The discrepancy of the obtained solution is investigated. The constructed asymptotic solutions are interpreted as a description of the interaction of two quasiparticles in the semiclassical approximation. A system of equations for the quasiparticle dynamics is obtained.
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