Квазичастицы в квазиклассическом приближении двумерного уравнения типа Хартри

Semiclassical asymptotics have been constructed for the two-dimensional Hartree type equation. The dynamics of the initial state, which is the superposition of two wave packets, has been studied. The constructed solution has been interpreted as an interaction of two quasiparticles to the semiclassical approximation. Equations, describing the dynamics of quasiparticles, have been obtained