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

Jean-Pierre Amiet; S. Weigert

doi:10.1103/PhysRevA.63.012102

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

Jean-Pierre Amiet, S. Weigert

Mathematics

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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.

Original language	English
Pages (from-to)	art no. 012102
Journal	Physical Review A
Volume	63
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.63.012102
Publication status	Published - Jan 2001

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title = "Contracting the Wigner kernel of a spin to the Wigner kernel of a particle",

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.",

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