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

Jean-Pierre Amiet and Stefan Weigert
Phys. Rev. A 63, 012102 – Published 5 December 2000
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Abstract

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.

  • Received 12 May 2000

DOI:https://doi.org/10.1103/PhysRevA.63.012102

©2000 American Physical Society

Authors & Affiliations

Jean-Pierre Amiet and Stefan Weigert*

  • Institut de Physique, Université de Neuchâtel, Rue A.-L. Breguet 1, CH-2000 Neuchâtel, Switzerland

  • *Email address: stefan.weigert@unine.ch

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Issue

Vol. 63, Iss. 1 — January 2001

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