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Contracting the Wigner kernel of a spin to the Wigner kernel of a particle

Amiet, Jean-Pierre and Weigert, S. (orcid.org/0000-0002-6647-3252) (2001) Contracting the Wigner kernel of a spin to the Wigner kernel of a particle. Physical Review A. art no. 012102. ISSN 1094-1622

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A general relation between the Moyal formalisms for a spin and a particle is established. Once the formalism has been set up for a spin, the phase-space description of a particle is obtained from contracting the group of rotations to the oscillator group. In this process, turn into a spin Wigner kernel turns into the Wigner kernel of a particle. In fact, only one out of 22s different possible kernels for a spin shows this behavior.

Item Type: Article
Copyright, Publisher and Additional Information: © 2001 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: Repository Officer
Date Deposited: 23 Jun 2006
Last Modified: 08 Jun 2016 18:09
Published Version: http://dx.doi.org/10.1103/PhysRevA.63.012102
Status: Published
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/1371

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