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Zbl 1121.81089
Dito, Giuseppe; Léandre, Rémi
Stochastic Moyal product on the Wiener space.
(English)
[J] J. Math. Phys. 48, No. 2, 023509, 8 p. (2007). ISSN 0022-2488; ISSN 1089-7658/e

Summary: We propose a stochastic extension of deformation quantization on a Hilbert space. The Moyal product is defined in this context on the space of functionals belonging to all of the Sobolev spaces of the Malliavin calculus.
MSC 2000:
*81S30 Phase space methods in quantum mechanics
60H07 Stochastic calculus of variations and the Malliavin calculus
81S10 Geometric quantization, symplectic methods

Cited in: Zbl 1143.53082

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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