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

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Russian Physics Journal Aims and scope

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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Authors and Affiliations

  1. National Research Tomsk Polytechnic University, Tomsk, Russia

    A. E. Kulagin, A. Yu. Trifonov & A. V. Shapovalov

  2. National Research Tomsk State University, Tomsk, Russia

    A. Yu. Trifonov & A. V. Shapovalov

Authors
  1. A. E. Kulagin
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  2. A. Yu. Trifonov
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  3. A. V. Shapovalov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 20–28, May, 2015.

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Kulagin, A.E., Trifonov, A.Y. & Shapovalov, A.V. Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation. Russ Phys J 58, 606–615 (2015). https://doi.org/10.1007/s11182-015-0540-7

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  • DOI: https://doi.org/10.1007/s11182-015-0540-7

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