dorsal/arxiv
View SchemaContracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle
| Authors | Jean-Pierre Amiet, Stefan Weigert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004060 |
| URL | https://arxiv.org/abs/quant-ph/0004060 |
| DOI | 10.1103/PhysRevA.63.012102 |
| Journal | Phys. Rev. A 63 (2001) 012102 |
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 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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"abstract": "A general relation between the Moyal formalisms for a spin and a particle is\nestablished. Once the formalism has been set up for a spin, the phase-space\ndescription of a particle is obtained from the `contraction\u0027 of the group of\nrotations to the group of translations. This is shown by explicitly contracting\na spin Wigner-kernel to the Wigner kernel of a particle. In fact, only one out\nof 2^{2s} different possible kernels for a spin shows this behaviour.",
"arxiv_id": "quant-ph/0004060",
"authors": [
"Jean-Pierre Amiet",
"Stefan Weigert"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.63.012102",
"journal_ref": "Phys. Rev. A 63 (2001) 012102",
"title": "Contracting the Wigner-Kernel of a Spin to the Wigner-Kernel of a Particle",
"url": "https://arxiv.org/abs/quant-ph/0004060"
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