Representation of a quantum particle with \(\text{spin}1/2\) by means of the Moyal product and a flat symplectic supermanifold

DOI10.1016/0393-0440(94)90017-5zbMath0796.58019OpenAlexW1972051692MaRDI QIDQ1327117

Jean-Bertrand Kammerer, Michel Valton

Publication date: 22 September 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)90017-5

zbMATH Keywords

spinstar productspectral resolutionsymplectic supermanifold

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Infinite-dimensional Lie (super)algebras (17B65) Supermanifolds and graded manifolds (58A50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Clifford algebras, spinors (15A66) Exterior algebra, Grassmann algebras (15A75)

Related Items (1)

Quantum mechanics as a matrix symplectic geometry

Cites Work

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• THE ALGEBRA OF WEYL SYMBOLS AND THE CAUCHY PROBLEM FOR REGULAR SYMBOLS
• Deformations et quantification
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

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