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Abstract

We construct the trajectory concentrated solutions of the nonlocal GrossPitaevskii equation with radial symmetry using the semiclassical formalism. In the polar coordinates, the applied method has some features, which are shown. The semiclassical trajectory-coherent states, concentrated on the ring, are obtained. The countable set of asymptotic solutions (semiclassical trajectory-coherent states) is obtained and its properties are discussed.

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Keywords

квазиклассическое приближение, асимптотические решения, нелокальные уравнения, траекторно-когерентные состояния, уравнение Гросса-Питаевского

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