New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case  

作　　者：范洪义 袁洪春 

机构地区：[1]Department of Physics,Shanghai Jiao Tong University

出　　处：《Chinese Physics B》2010年第7期45-52,共8页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174);the President Foundation of Chinese Academy of Sciences

摘　　要：As a natural and important extension of Fan＇s paper （Fan Hong-Yi 2010 Chin. Phys. B 19 040305） by employing the formula of operators＇ Weyl ordering expansion and the bipartite entangled state representation this paper finds a new two-fold complex integration transformation about the Wigner operator A （#, ~） （in its entangled form） in phase space quantum mechanics, and its inverse transformation. In this way, some operator ordering problems regarding to （a1-a2） and （a1＋a2） can be solved and the contents of phase space quantum mechanics can be enriched, where ai,ai are bosonic creation and annihilation operators, respectively.As a natural and important extension of Fan＇s paper （Fan Hong-Yi 2010 Chin. Phys. B 19 040305） by employing the formula of operators＇ Weyl ordering expansion and the bipartite entangled state representation this paper finds a new two-fold complex integration transformation about the Wigner operator A （#, ~） （in its entangled form） in phase space quantum mechanics, and its inverse transformation. In this way, some operator ordering problems regarding to （a1-a2） and （a1＋a2） can be solved and the contents of phase space quantum mechanics can be enriched, where ai,ai are bosonic creation and annihilation operators, respectively.

关 键 词：Wigner operator in entangled form Weyl ordering two-fold complex integration transformation 

分 类 号：O413.1[理学—理论物理] O316[理学—物理]