Wigner function for the orientation state

We introduce a quantum phase space representation for the orientation state of extended quantum objects, using the Euler angles and their conjugate momenta as phase space coordinates. It exhibits the same properties as the standard Wigner function and thus provides an intuitive framework for discuss...

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Bibliographic Details
Main Authors: Timo Fischer, Clemens Gneiting, Klaus Hornberger
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/6/063004
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author Timo Fischer
Clemens Gneiting
Klaus Hornberger
author_facet Timo Fischer
Clemens Gneiting
Klaus Hornberger
author_sort Timo Fischer
collection DOAJ
description We introduce a quantum phase space representation for the orientation state of extended quantum objects, using the Euler angles and their conjugate momenta as phase space coordinates. It exhibits the same properties as the standard Wigner function and thus provides an intuitive framework for discussing quantum effects and semiclassical approximations in the rotational motion. Examples illustrating the viability of this quasi-probability distribution include the phase space description of a molecular alignment effect.
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spelling doaj.art-93ed6a8237f74d1dbe13795d2665088a2023-08-08T11:09:46ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115606300410.1088/1367-2630/15/6/063004Wigner function for the orientation stateTimo Fischer0Clemens Gneiting1Klaus Hornberger2https://orcid.org/0000-0002-3145-1117University of Duisburg-Essen , Lotharstraße 1-21, D-47048 Duisburg, GermanyAlbert-Ludwigs University of Freiburg , Hermann-Herder-Straße 3, D-79104 Freiburg, GermanyUniversity of Duisburg-Essen , Lotharstraße 1-21, D-47048 Duisburg, GermanyWe introduce a quantum phase space representation for the orientation state of extended quantum objects, using the Euler angles and their conjugate momenta as phase space coordinates. It exhibits the same properties as the standard Wigner function and thus provides an intuitive framework for discussing quantum effects and semiclassical approximations in the rotational motion. Examples illustrating the viability of this quasi-probability distribution include the phase space description of a molecular alignment effect.https://doi.org/10.1088/1367-2630/15/6/063004
spellingShingle Timo Fischer
Clemens Gneiting
Klaus Hornberger
Wigner function for the orientation state
New Journal of Physics
title Wigner function for the orientation state
title_full Wigner function for the orientation state
title_fullStr Wigner function for the orientation state
title_full_unstemmed Wigner function for the orientation state
title_short Wigner function for the orientation state
title_sort wigner function for the orientation state
url https://doi.org/10.1088/1367-2630/15/6/063004
work_keys_str_mv AT timofischer wignerfunctionfortheorientationstate
AT clemensgneiting wignerfunctionfortheorientationstate
AT klaushornberger wignerfunctionfortheorientationstate