Semiclassical, trajectory-coherent, quasi-energy states for the one-dimensional schrödinger equation

V. D. Baranov, V. V. Belov, A. Yu Trifonov

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Abstract

On the basis of the complex WKB-Maslov method, semiclassical. trajectory-coherent, quasi-energy states are constructed for the one-dimensional Sclirödinger equation with the potential corresponding to the well-known classical Duffing equation with a time-periodic driving force. Classical objects required to construct semiclassical quasi-energy states are determined by converging series in powers of a small parameter included in the potential. Leading terms of these series are calculated.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalRussian Physics Journal
Volume43
Issue number1
DOIs
Publication statusPublished - 1 Jan 2000

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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