Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 8 (2012), 011, 15 pages      arXiv:1203.3272      https://doi.org/10.3842/SIGMA.2012.011

Deformation Quantization by Moyal Star-Product and Stratonovich Chaos

Rémi Léandre a and Maurice Obame Nguema b
a) Laboratoire de Mathématiques, Université de Franche-Comté, 25030, Besancon, France
b) Institut de Mathématiques de Bourgogne, Université de Bourgogne, 21000, Dijon, France

Received November 16, 2011, in final form March 06, 2012; Published online March 15, 2012

Abstract
We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.

Key words: Moyal product; Connes algebra; Stratonovich chaos; white noise analysis.

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