Geometrical evaluation of star products
- 1 July 2000
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 41 (7) , 5129-5134
- https://doi.org/10.1063/1.533395
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.Keywords
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This publication has 20 references indexed in Scilit:
- String theory and noncommutative geometryJournal of High Energy Physics, 1999
- Features of time-independent Wigner functionsPhysical Review D, 1998
- Deformations of Poisson brackets and extensions of Lie algebras of contact vector fieldsRussian Mathematical Surveys, 1992
- Wentzel-Kramers-Brillouin method in the Bargmann representationPhysical Review A, 1989
- Infinite-dimensional algebras, sine brackets, and SU(∞)Physics Letters B, 1989
- Quantization and the uniqueness of invariant structuresCommunications in Mathematical Physics, 1983
- Feynman path integrals in a phase spaceSoviet Physics Uspekhi, 1980
- Déformation du crochet de poisson sur une variété symplectiqueCommentarii Mathematici Helvetici, 1975
- The formulation of quantum mechanics in terms of phase space functionsMathematical Proceedings of the Cambridge Philosophical Society, 1964
- Quantum mechanics as a statistical theoryMathematical Proceedings of the Cambridge Philosophical Society, 1949