dorsal/arxiv
View SchemaMetaplectic Covariance of the Weyl-Wigner-Groenewold-Moyal Quantization and Beyond
| Authors | A. Vercin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803067 |
| URL | https://arxiv.org/abs/quant-ph/9803067 |
| DOI | 10.1006/aphy.1998.5805 |
| Journal | Annals Phys. 266 (1998) 503-523 |
Abstract
The metaplectic covariance for all forms of the Weyl-Wigner-Groenewold-Moyal quantization is established with different realizations of the inhomogeneous symplectic algebra. Beyond that, in its most general form $W_{\infty}$ -covariance of this quantization scheme is investigated, and explicit expressions for the quantum-deformed Hamiltonian vector fields are presented. In a general basis the structure constants of the $W_{\infty}$-algebra are obtained and its subalgebras are analyzed.
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"abstract": "The metaplectic covariance for all forms of the Weyl-Wigner-Groenewold-Moyal\nquantization is established with different realizations of the inhomogeneous\nsymplectic algebra. Beyond that, in its most general form $W_{\\infty}$\n-covariance of this quantization scheme is investigated, and explicit\nexpressions for the quantum-deformed Hamiltonian vector fields are presented.\nIn a general basis the structure constants of the $W_{\\infty}$-algebra are\nobtained and its subalgebras are analyzed.",
"arxiv_id": "quant-ph/9803067",
"authors": [
"A. Vercin"
],
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"doi": "10.1006/aphy.1998.5805",
"journal_ref": "Annals Phys. 266 (1998) 503-523",
"title": "Metaplectic Covariance of the Weyl-Wigner-Groenewold-Moyal Quantization and Beyond",
"url": "https://arxiv.org/abs/quant-ph/9803067"
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