Contracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle

Details Contracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle Contracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle

2000-04-13

arxiv.org/abs/quant-ph/0004060v1

Phys. Rev. A 63 (2001) 012102

Physics

Quantum Physics

9 pages, Latex2e, no figures

Scientific paper

10.1103/PhysRevA.63.012102

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 the `contraction' of the group of rotations to the group of translations. This is shown by explicitly contracting a spin Wigner-kernel to the Wigner kernel of a particle. In fact, only one out of 2^{2s} different possible kernels for a spin shows this behaviour.

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