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International Journal of Theoretical Physics
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arXiv.org e-Print Archive
Preprint . 2001
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International Journal of Theoretical Physics
Article . 2001 . Peer-reviewed
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Article . 2001
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Rieffel's Deformation Quantization and Isospectral Deformations

Rieffel's deformation quantization and isospectral deformations.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 2001Embargo end date: 01 Jan 2001 English Publisher:Springer Science and Business Media LLCJournal:International Journal of Theoretical Physics, volume 40, pages 1,693-1,696 (issn: 0020-7748, eissn: 1572-9575, Copyright policy )
Authors: Andrzej Sitarz;

doi: 10.1023/a:1011956229254 , 10.48550/arxiv.math/0102075

arXiv: http://arxiv.org/abs/math/0102075

Rieffel's Deformation Quantization and Isospectral Deformations

Abstract

We demonstrate the relation between the isospectral deformation and Rieffel's deformation quantization by the action of $\mathbb{R}^d$.

5 pages, AMSLaTeX

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Keywords

[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], Deformation quantization, star products, Noncommutative geometry (à la Connes), Rieffel's deformation quantization, FOS: Physical sciences, isospectral deformations, Mathematical Physics (math-ph), 46L87, 58B30, 81R50, Mathematics - Quantum Algebra, FOS: Mathematics, Noncommutative geometry in quantum theory, Quantum Algebra (math.QA), noncommutative geometry, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Geometry and quantization, symplectic methods, Mathematical Physics

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    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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citations
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!
11
Average
Top 10%
Average
Green
bronze