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

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

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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

Fingerprint

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Baranov, V. D., Belov, V. V., & Trifonov, A. Y. (2000). Semiclassical, trajectory-coherent, quasi-energy states for the one-dimensional schrödinger equation. Russian Physics Journal, 43(1), 1-5. https://doi.org/10.1007/BF02512999

@article{05466f71d0ae45dc995d7b42fa4fcb37,

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",

month = "1",

day = "1",

doi = "10.1007/BF02512999",

language = "English",

volume = "43",

pages = "1--5",

journal = "Russian Physics Journal",

issn = "1064-8887",

publisher = "Consultants Bureau",

number = "1",

}

TY - JOUR

T1 - Semiclassical, trajectory-coherent, quasi-energy states for the one-dimensional schrödinger equation

AU - Baranov, V. D.

AU - Belov, V. V.

AU - Trifonov, A. Yu

PY - 2000/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=52849090134&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52849090134&partnerID=8YFLogxK

U2 - 10.1007/BF02512999

DO - 10.1007/BF02512999

M3 - Article

AN - SCOPUS:52849090134

VL - 43

SP - 1

EP - 5

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 1

ER -

Access to Document

10.1007/BF02512999