Physical Motivation  On Deformation Quantisation.

I. E. Nwachukwu; M. N. Annorzie; B. G. Akuchu

doi:10.52589/AJMSS-FJ7AIDGW

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Physical Motivation On Deformation Quantisation.

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Publication Date: 2024-08-27

DOI: 10.52589/AJMSS-FJ7AIDGW

Volume/Issue: Volume 7, Issue 3 (2024)

Page No: 133 - 142

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

We study the Poisson structures associated with deformation quantisation and its non-degradable factor on the Casimir function. We also describe a filtered associative algebra in a quotient space as a Poisson algebra and the automorphism of the Poisson bracket is discussed.

Keywords:Poisson structuresDeformation quantisationCasimir functionQuotient spaceAutomorphism.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.