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Deformation quantization by Moyal star-product and Stratonovich chaos
Rémi Léandrea, Maurice Obame Nguemab 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.
Received: November 16, 2011; in final form March 6, 2012; Published online March 15, 2012
Citation:
Rémi Léandre, Maurice Obame Nguema, “Deformation quantization by Moyal star-product and Stratonovich chaos”, SIGMA, 8 (2012), 011, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma688 https://www.mathnet.ru/eng/sigma/v8/p11
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Abstract page: | 276 | Full-text PDF : | 64 | References: | 39 |
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