Analysis of the Moyal product in a flat space
- 1 February 1986
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (2) , 529-535
- https://doi.org/10.1063/1.527400
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.Keywords
This publication has 8 references indexed in Scilit:
- Deformation theory and quantization. I. Deformations of symplectic structuresPublished by Elsevier ,2004
- Star exponentials of the elements of the inhomogeneous symplectic Lie algebraLetters in Mathematical Physics, 1982
- Invariant*-products of holomorphic functions on the hyperbolic hermitian spacesLetters in Mathematical Physics, 1981
- The classical limit for Weyl quantizationLetters in Mathematical Physics, 1978
- The Weyl transform of distributionsJournal of Mathematical Physics, 1976
- C*-Algèbres des systèmes canoniques. ICommunications in Mathematical Physics, 1966
- Mathematical Aspects of the Weyl CorrespondenceJournal of Mathematical Physics, 1966
- Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.MATHEMATICA SCANDINAVICA, 1963