Analysis of the Moyal product in a flat space

J-B. Kammerer

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Journal of Mathematical Physics

Article . 1986 . Peer-reviewed

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https://dx.doi.org/10.1063/1.5...

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Analysis of the Moyal product in a flat space

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1986 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 27, pages 529-535 (issn: 0022-2488, eissn: 1089-7658,

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Authors: J-B. Kammerer;

doi: 10.1063/1.527400

Analysis of the Moyal product in a flat space

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Abstract

This paper studies the mathematical properties of Moyal product defined in the space R2n. They correspond to the properties of quantum mechanics and permit us to consider classical mechanics as a limit of quantum mechanics when Planck’s constant vanishes. A table of formulas and two algebras give in particular the necessary results for the approximation of the Moyal product and for the spectral resolution.

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