Deformation Quantization by Moyal Star-Product and Stratonovich Chaos

被引:0
|
作者
Leandre, Remi [1 ]
Nguema, Maurice Obame [2 ]
机构
[1] Univ Franche Comte, Math Lab, F-25030 Besancon, France
[2] Univ Bourgogne, Inst Math Bourgogne, F-21000 Dijon, France
关键词
Moyal product; Connes algebra; Stratonovich chaos; white noise analysis; FIELD-THEORY;
D O I
10.3842/SIGMA.2012.011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] Moyal star-product on a Hilbert space
    Dito, Giuseppe
    Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski, 2006, : 137 - 146
  • [2] Star-product quantization and symplectic tomography
    Manko, Olga V.
    PHYSICA SCRIPTA, 2009, T135
  • [3] Characteristic functions of states in star-product quantization
    Grigori G. Amosov
    Vladimir I. Man’ko
    Journal of Russian Laser Research, 2009, 30 : 435 - 442
  • [4] CHARACTERISTIC FUNCTIONS OF STATES IN STAR-PRODUCT QUANTIZATION
    Amosov, Grigori G.
    Man'ko, Vladimir I.
    JOURNAL OF RUSSIAN LASER RESEARCH, 2009, 30 (05) : 435 - 442
  • [5] APPLICATION OF THE STAR-PRODUCT METHOD TO THE ANGULAR-MOMENTUM QUANTIZATION
    MOLIN, P
    LETTERS IN MATHEMATICAL PHYSICS, 1992, 25 (03) : 213 - 225
  • [6] Note on the star-product
    Acta Cybern, 1 (99-104):
  • [8] Deformation quantization of Frechet-Poisson algebras: Convergence of the Moyal product
    Omori, H
    Maeda, Y
    Miyazaki, N
    Yoshioka, A
    CONFERENCE MOSHE FLATO 1999, VOL II: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 22 : 233 - 245
  • [9] Star-product in the presence of a monopole
    Carinena, Jose F.
    Gracia-Bondia, J. M.
    Lizzi, Fedele
    Marmo, Giuseppe
    Vitale, Patrizia
    PHYSICS LETTERS A, 2010, 374 (35) : 3614 - 3618
  • [10] Moyal-like form of the star product for generalized SU(2) Stratonovich-Weyl symbols
    Klimov, AB
    Espinoza, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (40): : 8435 - 8447