Rémi Léandre, Maurice Obame Nguema, “Deformation quantization by Moyal star-product and Stratonovich chaos”, SIGMA, 2012, Volume 8,011, 15 pp.

Deformation quantization by Moyal star-product and Stratonovich chaos

Rémi Léandre^a, 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

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.

Keywords: Moyal product, Connes algebra, Stratonovich chaos, white noise analysis.

MSC: 60H40; 81S20

Received: November 16, 2011; in final form March 6, 2012; Published online March 15, 2012

Language: English

DOI: 10.3842/SIGMA.2012.011