Operators' ordering: from Weyl ordering to normal ordering  

作　　者：FAN HongYi YUAN HongChun CAI GenChang JIANG NianQuan 

机构地区：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China [2]College of Music, Wenzhou University, Wenzhou 325035, China [3]CoUege of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2011年第8期1394-1397,共4页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10947017/A05);the Specialized Research Fund for the Doctorial Progress of Higher Education of China (GrantNo. 20070358009)

摘　　要：By virtue of the technique of integration within an ordered product of operators we present a new approach to obtain operators' normal ordering. We first put operators into their Weyl ordering through the Weyl-Wigner quantization scheme, and then we convert the Weyl ordered operators into normal ordering by virtue of the normally ordered form of the Wigner operator.By virtue of the technique of integration within an ordered product of operators we present a new approach to obtain operators’ normal ordering. We first put operators into their Weyl ordering through the Weyl-Wigner quantization scheme, and then we convert the Weyl ordered operators into normal ordering by virtue of the normally ordered form of the Wigner operator.

关 键 词：Weyl ordering normal ordering Wigner operator Weyl rule 

分 类 号：F274[经济管理—企业管理] TH166[经济管理—国民经济]