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Metaplectic Covariance of the Weyl–Wigner–Groenewold–Moyal Quantization and Beyond

✍ Scribed by A. Verçin


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
361 KB
Volume
266
Category
Article
ISSN
0003-4916

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✦ Synopsis


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 -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 -algebra are obtained and its subalgebras are analyzed.