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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approximation
wave packets
interactions

Keywords

  • nonlocal Gross–Pitaevskii equation
  • quasiparticles
  • semiclassical asymptotics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation",
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.",
keywords = "nonlocal Gross–Pitaevskii equation, quasiparticles, semiclassical asymptotics",
author = "Kulagin, {Anton Evgenievich} and Trifonov, {A. Y.} and Shapovalov, {Aleksandr Vasilievich}",
year = "2015",
month = "9",
day = "17",
doi = "10.1007/s11182-015-0540-7",
language = "English",
journal = "Russian Physics Journal",
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AU - Kulagin, Anton Evgenievich

AU - Trifonov, A. Y.

AU - Shapovalov, Aleksandr Vasilievich

PY - 2015/9/17

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N2 - 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.

AB - 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.

KW - nonlocal Gross–Pitaevskii equation

KW - quasiparticles

KW - semiclassical asymptotics

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