A generalized Weyl-Wigner quantization scheme unifying P-Q and Q-P ordering and Weyl ordering of operators

作     者：王继锁 范洪义 孟祥国 Wang Ji-Suo a)b),Fan Hong-Yi c),and Meng Xiang-Guo b)c) a)Shandong Provincial Key Laboratory of Laser Polarization and Information Technology,College of Physics and Engineering,Qufu Normal University,Qufu 273165,China b)Department of Physics,Liaocheng University,Liaocheng 252059,China c)Department of Physics,Shanghai Jiao Tong University,Shanghai 200030,China

作者机构：Shandong Provincial Key Laboratory of Laser Polarization and Information TechnologyCollege of Physics and EngineeringQufu Normal University Department of PhysicsLiaocheng University Department of PhysicsShanghai Jiao Tong University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2012年第21卷第6期

页      面：207-212页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11175113 and 11147009) the Natural Science Foundation of Shandong Province of China (Grant No. ZR2010AQ027) the Program of Higher Educational Science and Technology of Shandong Province,China (Grant No. J10LA15) 

主　　题：generalized Wigner operator generalized operator ordering rule bivariate normal dis-tribution 

摘      要：By extending the usual Wigner operator to the s-parameterized one as 1/4π2 integral （dyduexp [iu（q-Q）＋iy（p-P）＋is/2yu]） from n=- ∞ to ∞ with s beng a,real parameter,we propose a generalized Weyl quantization scheme which accompanies a new generalized s-parameterized ordering *** rule recovers P-Q ordering,Q-P ordering,and Weyl ordering of operators in s = 1,1,0 *** it differs from the Cahill-Glaubers’ ordering rule which unifies normal ordering,antinormal ordering,and Weyl *** also show that in this scheme the s-parameter plays the role of correlation between two quadratures Q and *** formula that can rearrange a given operator into its new s-parameterized ordering is presented.