Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation

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Abstract

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.

Original languageEnglish
JournalRussian Physics Journal
DOIs
Publication statusAccepted/In press - 17 Sep 2015

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Keywords

  • nonlocal Gross–Pitaevskii equation
  • quasiparticles
  • semiclassical asymptotics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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