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Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields.

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Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields.

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dc.contributor.author Wang, Lipo.
dc.date.accessioned 2012-05-23T02:24:53Z
dc.date.available 2012-05-23T02:24:53Z
dc.date.copyright 1990
dc.date.issued 2012-05-23
dc.identifier.citation Wang, L. (1990). Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields. Physical Review A, 41(3), 1193 - 1198.
dc.identifier.uri http://hdl.handle.net/10220/8124
dc.description.abstract We give a rigorous proof for the following result that combines those discussed earlier by Krüger and Poffyn [Physica 85A, 84 (1976)] and by Springborg [J. Phys. A 16, 535 (1983)]: The Wigner correspondence of a quantum operator can be obtained by simple substitutions under an arbitrary linear phase-space transformation. This property cannot be generalized to any other transformations or rules of phase-space correspondence. As an application of this result, the Wigner distribution functions of an anisotropic harmonic-oscillator system in crossed magnetic and electric fields are obtained.
dc.format.extent 6 p.
dc.language.iso en
dc.relation.ispartofseries Physical review A
dc.rights © 1990 The American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official URL: [http://dx.doi.org/10.1103/PhysRevA.41.1193].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
dc.subject DRNTU::Engineering::Electrical and electronic engineering.
dc.title Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields.
dc.type Journal Article
dc.contributor.school School of Electrical and Electronic Engineering
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevA.41.1193
dc.description.version Published version

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