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

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 language	English
Pages (from-to)	1-5
Number of pages	5
Journal	Russian Physics Journal
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/BF02512999
Publication status	Published - 1 Jan 2000

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/BF02512999

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title = "Semiclassical, trajectory-coherent, quasi-energy states for the one-dimensional schr{\"o}dinger equation",

abstract = "On the basis of the complex WKB-Maslov method, semiclassical. trajectory-coherent, quasi-energy states are constructed for the one-dimensional Sclir{\"o}dinger 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.",

author = "Baranov, {V. D.} and Belov, {V. V.} and Trifonov, {A. Yu}",

year = "2000",

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journal = "Russian Physics Journal",

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AU - Baranov, V. D.

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AU - Trifonov, A. Yu

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Y1 - 2000/1/1

N2 - 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.

AB - 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.

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