Wigner-Weyl-Moyal Formalism on Algebraic Structures

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dc.creatorAntonsen, Frank
dc.date1996-08-28
dc.date.accessioned2026-07-07T06:13:57Z
dc.date.available2026-07-07T06:13:57Z
dc.descriptionWe first introduce the Wigner-Weyl-Moyal formalism for a theory whose phase-space is an arbitrary Lie algebra. We also generalize to quantum Lie algebras and to supersymmetric theories. It turns out that the non-commutativity leads to a deformation of the classical phase-space: instead of being a vector space it becomes a manifold, the topology of which is given by the commutator relations. It is shown in fact that the classical phase-space, for a semi-simple Lie algebra, becomes a homogenous symplectic manifold. The symplectic product is also deformed. We finally make some comments on how to generalize to $C^*$-algebras and other operator algebras too.
dc.descriptionpure LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/9608042
dc.identifierhttp://arxiv.org/abs/quant-ph/9608042
dc.identifierInt.J.Theor.Phys. 37 (1998) 697-758
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93288
dc.subjectQuantum Physics
dc.titleWigner-Weyl-Moyal Formalism on Algebraic Structures
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