Phase-space representations of the Bloch equation

We discuss the phase-space representation of the Bloch equation and present analytic expressions for two generalized classes of distribution functions. Series solutions to order of ħ2 are given. We conclude that the Wigner quantum corrections are the simplest among the two general classes of distrib...

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Bibliographic Details
Main Authors: O'Connell, R. F., Wang, Lipo.
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/84926
http://hdl.handle.net/10220/8123
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author O'Connell, R. F.
Wang, Lipo.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
O'Connell, R. F.
Wang, Lipo.
author_sort O'Connell, R. F.
collection NTU
description We discuss the phase-space representation of the Bloch equation and present analytic expressions for two generalized classes of distribution functions. Series solutions to order of ħ2 are given. We conclude that the Wigner quantum corrections are the simplest among the two general classes of distribution functions.
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spelling ntu-10356/849262020-03-07T13:57:21Z Phase-space representations of the Bloch equation O'Connell, R. F. Wang, Lipo. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering We discuss the phase-space representation of the Bloch equation and present analytic expressions for two generalized classes of distribution functions. Series solutions to order of ħ2 are given. We conclude that the Wigner quantum corrections are the simplest among the two general classes of distribution functions. Published version 2012-05-23T02:20:42Z 2019-12-06T15:53:47Z 2012-05-23T02:20:42Z 2019-12-06T15:53:47Z 1985 1985 Journal Article O'Connell, R. F., & Wang, L. (1985). Phase-space representations of the Bloch equation. Physical Review A, 31(3), 1707-1711. https://hdl.handle.net/10356/84926 http://hdl.handle.net/10220/8123 10.1103/PhysRevA.31.1707 en Physical review A © 1985 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.31.1707].  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. 5 p. application/pdf
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
O'Connell, R. F.
Wang, Lipo.
Phase-space representations of the Bloch equation
title Phase-space representations of the Bloch equation
title_full Phase-space representations of the Bloch equation
title_fullStr Phase-space representations of the Bloch equation
title_full_unstemmed Phase-space representations of the Bloch equation
title_short Phase-space representations of the Bloch equation
title_sort phase space representations of the bloch equation
topic DRNTU::Engineering::Electrical and electronic engineering
url https://hdl.handle.net/10356/84926
http://hdl.handle.net/10220/8123
work_keys_str_mv AT oconnellrf phasespacerepresentationsoftheblochequation
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