Stochastic Moyal product on the Wiener space

DOI10.1063/1.2472184zbMath1121.81089OpenAlexW2085452688MaRDI QIDQ3442221

Rémi Léandre, Giuseppe Dito

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2472184

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (6)

A Poisson algebra on the Hida test functions and a quantization using the Cuntz algebra ⋮ A Lie algebroid on the Wiener space ⋮ Fedosov Quantization in White Noise Analysis ⋮ Deformation quantization of a certain type of open systems ⋮ A Continuous Bialgebra Structure on a Loop Algebra ⋮ DISSIPATIVE SCALAR FIELD THEORY VIA DEFORMATION QUANTIZATION

Cites Work

• Deformation theory and quantization. II: Physical applications
• Stochastic gauge transform of the string bundle
• An introduction to analysis on Wiener space
• Stochastic Cohomology of the Frame Bundle of the Loop Space
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