Time dependent transformations in deformation quantization

DOI10.1063/1.1641152zbMath1070.81075arXivhep-th/0311218OpenAlexW1973215669MaRDI QIDQ4833334

João Nuno Prata, Nuno Costa Dias

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0311218

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (4)

Quantum trajectories ⋮ Wigner measures in noncommutative quantum mechanics ⋮ Weyl–Wigner formulation of 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
• Bohmian trajectories and quantum phase space distributions
• Weyl manifolds and deformation quantization
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• String theory and noncommutative geometry
• Quantization of Lie bialgebras. I
• Half quantization
• Generalized Weyl–Wigner map and Vey quantum mechanics
• On the Quantum Correction For Thermodynamic Equilibrium
• Moyal–Nahm equations
• Causal interpretation and quantum phase space

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