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

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...

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Main Author:	Wang, Lipo.
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2012
Subjects:	DRNTU::Engineering::Electrical and electronic engineering
Online Access:	https://hdl.handle.net/10356/84927 http://hdl.handle.net/10220/8124
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-84927
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spelling	sg-ntu-dr.10356-849272020-03-07T13:57:21Z Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields Wang, Lipo. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering 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. Published version 2012-05-23T02:24:53Z 2019-12-06T15:53:48Z 2012-05-23T02:24:53Z 2019-12-06T15:53:48Z 1990 1990 Journal Article 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. https://hdl.handle.net/10356/84927 http://hdl.handle.net/10220/8124 10.1103/PhysRevA.41.1193 en Physical review A © 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. 6 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Electrical and electronic engineering
spellingShingle	DRNTU::Engineering::Electrical and electronic engineering Wang, Lipo. Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields
description	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.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Wang, Lipo.
format	Article
author	Wang, Lipo.
author_sort	Wang, Lipo.
title	Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields
title_short	Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields
title_full	Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields
title_fullStr	Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields
title_full_unstemmed	Phase space formulation of quantum mechanics under phase space transformations : Wigner functions of an oscillator system in crossed magnetic and electric fields
title_sort	phase space formulation of quantum mechanics under phase space transformations : wigner functions of an oscillator system in crossed magnetic and electric fields
publishDate	2012
url	https://hdl.handle.net/10356/84927 http://hdl.handle.net/10220/8124
_version_	1681044877399293952

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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