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

Research output: Contribution to journalArticle

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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 languageEnglish
Pages (from-to)1068-1076
Number of pages9
JournalRussian Physics Journal
Volume52
Issue number10
DOIs
Publication statusPublished - 1 Oct 2009

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formalism
nonlinearity
trajectories
operators
matrices

Keywords

  • Hartree-type equation
  • Semiclassical approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Formalism of semiclassical asymptotics for a two-component Hartree-type equation. / Smirnova, E. I.; Trifonov, A. Yu; Shapovalov, Aleksandr Vasilievich.

In: Russian Physics Journal, Vol. 52, No. 10, 01.10.2009, p. 1068-1076.

Research output: Contribution to journalArticle

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