Formalism of semiclassical asymptotics for a two-component Hartree-type equation

Abstract

A formalism of semiclassical asymptotics has been developed for a two-component Hartree-type evolutionary equation with a small asymptotic parameter multiplying the partial derivatives, a nonlocal cubic nonlinearity, and a Hermite matrix operator. Semiclassical solutions are constructed in the class of two-component functions concentrated in the neighborhood of a point moving along the phase trajectory of a dynamic Hamilton-Ehrenfest system.

Original language	English
Pages (from-to)	1068-1076
Number of pages	9
Journal	Russian Physics Journal
Volume	52
Issue number	10
DOIs	https://doi.org/10.1007/s11182-010-9340-2
Publication status	Published - 1 Oct 2009

Keywords

Hartree-type equation
Semiclassical approximation

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1007/s11182-010-9340-2

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Smirnova, E. I., Trifonov, A. Y., & Shapovalov, A. V. (2009). Formalism of semiclassical asymptotics for a two-component Hartree-type equation. Russian Physics Journal, 52(10), 1068-1076. https://doi.org/10.1007/s11182-010-9340-2

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