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Journal of Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 1999
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zbMATH Open
Article . 2000
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Journal of Mathematical Physics
Article . 2000 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1999
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https://dx.doi.org/10.1063/1.5...
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Geometrical evaluation of star products

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2000Embargo end date: 01 Jan 1999 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 41, pages 5,129-5,134 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: Zachos, Cosmas;

doi: 10.1063/1.533395 , 10.48550/arxiv.hep-th/9912238

arXiv: hep-th/9912238

Geometrical evaluation of star products

Abstract

The geometric picture of the star product based on its Fourier representation kernel is utilized in the evaluation of chains of star products and the intuitive appreciation of their associativity and symmetries. Such constructions appear even simpler for a variant asymmetric product, and carry through for the standard star-product supersymmetrization.

Related Organizations
Keywords

High Energy Physics - Theory, Deformation quantization, star products, chains of star products, Atomic Physics (physics.atom-ph), FOS: Physical sciences, symmetries, super-symmetrization, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Mathematical Physics (math-ph), Physics - Atomic Physics, High Energy Physics - Theory (hep-th), associativity, Fourier representation kernel, Geometry and quantization, symplectic methods, Mathematical Physics

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
47
Top 10%
Top 10%
Top 10%
Green
bronze