Time dependence of a general class of quantum distribution functions

We derive an explicit analytic expression for the time development of a generalized class of quantum distribution functions, which include as special cases the Wigner, the normal, and the antinormal distributions. We find that the simplest result is obtained in the case of the Wigner distribution.

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Main Authors: O'Connell, R. F., Wang, Lipo., Williams, H. A.
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/94714
http://hdl.handle.net/10220/8125
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-947142020-03-07T14:02:35Z Time dependence of a general class of quantum distribution functions O'Connell, R. F. Wang, Lipo. Williams, H. A. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering We derive an explicit analytic expression for the time development of a generalized class of quantum distribution functions, which include as special cases the Wigner, the normal, and the antinormal distributions. We find that the simplest result is obtained in the case of the Wigner distribution. Published version 2012-05-23T02:28:51Z 2019-12-06T19:00:57Z 2012-05-23T02:28:51Z 2019-12-06T19:00:57Z 1984 1984 Journal Article O'Connell, R. F., Wang, L., & Williams, H. A. (1984). Time dependence of a general class of quantum distribution functions. Physical Review A, 30(5), 2187-2192. https://hdl.handle.net/10356/94714 http://hdl.handle.net/10220/8125 10.1103/PhysRevA.30.2187 en Physical review A © 1984 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.30.2187].  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
O'Connell, R. F.
Wang, Lipo.
Williams, H. A.
Time dependence of a general class of quantum distribution functions
description We derive an explicit analytic expression for the time development of a generalized class of quantum distribution functions, which include as special cases the Wigner, the normal, and the antinormal distributions. We find that the simplest result is obtained in the case of the Wigner distribution.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
O'Connell, R. F.
Wang, Lipo.
Williams, H. A.
format Article
author O'Connell, R. F.
Wang, Lipo.
Williams, H. A.
author_sort O'Connell, R. F.
title Time dependence of a general class of quantum distribution functions
title_short Time dependence of a general class of quantum distribution functions
title_full Time dependence of a general class of quantum distribution functions
title_fullStr Time dependence of a general class of quantum distribution functions
title_full_unstemmed Time dependence of a general class of quantum distribution functions
title_sort time dependence of a general class of quantum distribution functions
publishDate 2012
url https://hdl.handle.net/10356/94714
http://hdl.handle.net/10220/8125
_version_ 1681041997695025152