Semiclassical trajectory-coherent approximation in quantum mechanics I. High-order corrections to multidimensional time-dependent equations of Schrödinger type

V. G. Bagrov, V. V. Belov, A. Yu Trifonov

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

A concept of semiclassically concentrated states is developed on the basis of the Maslov germ theory. Higher approximations of semiclassical trajectory-coherent states and of semiclassical Green function (in the class of semiclassically concentrated states) for a many-dimensional Schrödinger-type equation are constructed. It is shown that, in class of such semiclassically concentrated states, a Schrödinger-type equation (up to any order of ℏ, ℏ → 0) is equivalent, from the viewpoint of calculating the quantum averages, to a closed finite system of ordinary differential equations.

Original languageEnglish
Pages (from-to)231-290
Number of pages60
JournalAnnals of Physics
Volume246
Issue number2
DOIs
Publication statusPublished - 15 Mar 1996

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quantum mechanics
trajectories
approximation
differential equations
Green's functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Semiclassical trajectory-coherent approximation in quantum mechanics I. High-order corrections to multidimensional time-dependent equations of Schrödinger type. / Bagrov, V. G.; Belov, V. V.; Trifonov, A. Yu.

In: Annals of Physics, Vol. 246, No. 2, 15.03.1996, p. 231-290.

Research output: Contribution to journalArticle

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