Quantum mechanics as a matrix symplectic geometry

DOI10.1007/BF02082821zbMath0849.46050OpenAlexW4229836625MaRDI QIDQ1915368

A. E. F. Djemai

Publication date: 7 November 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02082821

zbMATH Keywords

symplectic geometrymatrix algebranoncommutative symplectic geometrySchwinger matricesWeyl-Schwinger realization of the Heisenberg groupWeyl-Wigner-Moyal formalism

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of functional analysis in quantum physics (46N50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Geometric quantization (53D50) Applications of linear algebraic groups to the sciences (20G45)

Related Items (4)

LAGRANGIAN FORMULATION FOR NONCOMMUTATIVE NONLINEAR SYSTEMS ⋮ Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant ⋮ Quantum mechanics, knot theory, and quantum doubles ⋮ NONCOMMUTATIVITY FROM THE SYMPLECTIC POINT OF VIEW

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