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.
- nonlocal Gross–Pitaevskii equation
- semiclassical asymptotics
ASJC Scopus subject areas
- Physics and Astronomy(all)