Quantization from the algebraic viewpoint
- 1 August 1976
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (8) , 1363-1365
- https://doi.org/10.1063/1.523084
Abstract
We use the Weyl quantization W in a general context valid for any finite‐dimensional Lie algebra G, to derive an explicit formula for (P1,P2) ≡W−1([W (P1),W (P2)]), P1,P2 polynomials. In the particular case of the Heisenberg Lie algebra, this formula reduces to the familiar Moyal bracket.Keywords
This publication has 2 references indexed in Scilit:
- La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotenteBulletin de la Société Mathématiques de France, 1972
- Quantum mechanics as a statistical theoryMathematical Proceedings of the Cambridge Philosophical Society, 1949