The Deformation Quantization of $\Real^n$ via the specifiaction of the commutators

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dc.creatorGratus, Jonathan
dc.date2004-11-25
dc.date.accessioned2026-07-07T05:14:42Z
dc.date.available2026-07-07T05:14:42Z
dc.descriptionIn a deformation quantization of $\Real^n$, the Jacobi identity is automatically satisfied. This article poses the contrary question: Given a set of commutators which satisfies the Jacobi identity, is the resulting associative algebra a deformation quantization of $\Real^n$? It is shown that the result is true. However care must taken when stating precisely how and in which algebra the Jacobi identity is satisfied.
dc.description14 pages, no figures. Permanent address: j@gratus.net www.gratus.net
dc.identifierhttps://arxiv.org/abs/math/0411581
dc.identifierhttp://arxiv.org/abs/math/0411581
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73379
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject53D55, 81S10, 81R60
dc.titleThe Deformation Quantization of $\Real^n$ via the specifiaction of the commutators
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