dorsal/arxiv
View SchemaA General Theory of Phase-Space Quasiprobability Distributions
| Authors | C. Brif, A. Mann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707010 |
| URL | https://arxiv.org/abs/quant-ph/9707010 |
| DOI | 10.1088/0305-4470/31/1/002 |
| Journal | J.Phys. A31 (1998) L9-L17 |
Abstract
We present a general theory of quasiprobability distributions on phase spaces of quantum systems whose dynamical symmetry groups are (finite-dimensional) Lie groups. The family of distributions on a phase space is postulated to satisfy the Stratonovich-Weyl correspondence with a generalized traciality condition. The corresponding family of the Stratonovich-Weyl kernels is constructed explicitly. In the presented theory we use the concept of the generalized coherent states, that brings physical insight into the mathematical formalism.
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"abstract": "We present a general theory of quasiprobability distributions on phase spaces\nof quantum systems whose dynamical symmetry groups are (finite-dimensional) Lie\ngroups. The family of distributions on a phase space is postulated to satisfy\nthe Stratonovich-Weyl correspondence with a generalized traciality condition.\nThe corresponding family of the Stratonovich-Weyl kernels is constructed\nexplicitly. In the presented theory we use the concept of the generalized\ncoherent states, that brings physical insight into the mathematical formalism.",
"arxiv_id": "quant-ph/9707010",
"authors": [
"C. Brif",
"A. Mann"
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"doi": "10.1088/0305-4470/31/1/002",
"journal_ref": "J.Phys. A31 (1998) L9-L17",
"title": "A General Theory of Phase-Space Quasiprobability Distributions",
"url": "https://arxiv.org/abs/quant-ph/9707010"
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