Duality symmetry for star products

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dc.creatorMan'ko, V. I.
dc.creatorMarmo, G.
dc.creatorVitale, P.
dc.date2004-07-15
dc.date.accessioned2026-07-07T06:34:09Z
dc.date.available2026-07-07T06:34:09Z
dc.descriptionA duality property for star products is exhibited. In view of it, known star-product schemes, like the Weyl-Wigner-Moyal formalism, the Husimi and the Glauber-Sudarshan maps are revisited and their dual partners elucidated. The tomographic map, which has been recently described as yet another star product scheme, is considered. It yields a noncommutative algebra of operator symbols which are positive definite probability distributions. Through the duality symmetry a new noncommutative algebra of operator symbols is found, equipped with a new star product. The kernel of the new star product is established in explicit form and examples are considered.
dc.description14 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0407131
dc.identifierhttp://arxiv.org/abs/hep-th/0407131
dc.identifierPhys.Lett. A334 (2005) 1
dc.identifierdoi:10.1016/j.physleta.2004.11.027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99432
dc.subjectHigh Energy Physics - Theory
dc.titleDuality symmetry for star products
dc.typetext

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