Generalized Weyl–Wigner map and Vey quantum mechanics

DOI10.1063/1.1415086zbMath1019.81032arXivquant-ph/0102018OpenAlexW3105104652MaRDI QIDQ2774747

Nuno Costa Dias, João Nuno Prata

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0102018

zbMATH Keywords

covariant generalizationMoyal quantum mechanicsphase space coordinate transformationsVey quantum mechanics

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55)

Related Items (9)

Quantum trajectories ⋮ Time dependent transformations in deformation quantization ⋮ Wigner measures in noncommutative quantum mechanics ⋮ Exact master equation for a noncommutative Brownian particle ⋮ Phase space quantum mechanics ⋮ Formal solutions of stargenvalue equations ⋮ Weyl–Wigner formulation of noncommutative quantum mechanics ⋮ A deformation quantization theory for noncommutative quantum mechanics ⋮ Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics

Cites Work

• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• String theory and noncommutative geometry
• Quantization of Lie bialgebras. I
• Half quantization
• Generating all Wigner functions
• On the Quantum Correction For Thermodynamic Equilibrium
• Moyal–Nahm equations
• Quantum Mechanics and Physical Reality

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