Quasiparticles Described by the Gross–Pitaevskii Equation in the Semiclassical Approximation
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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.
Keywordsnonlocal Gross–Pitaevskii equation semiclassical asymptotics quasiparticles
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