s-ordering operator expansions of quantum-mechanical fundamental representations and their applications  

作　　者：FAN HongYi 1,3 , XU YeJun 2 & YUAN HongChun 3,4 1 Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China 2 Department of Physics Electronic and Engineering, Chizhou University, Chizhou 247000, China 3 Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China 4 College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2011年第12期2150-2154,共5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 10874174);the Special Funds of the National Natural Science Foundation of China (Grant No.10947017/A05);the Higher School Fund of Outstanding Young Talent (Grant No.2010SQRL132);the Scientific Research Starting Foundation of Chizhou University (Grant No.2010RC036)

摘　　要：We show that the quantum-mechanical fundamental representations, say, the coordinate representation, the coherent state representation, the Fan-Klauder entangled state representation can be recast into s-ordering operator expansion, which is elegant in form and has many applications in deriving new operator identities. This demonstrates that Dirac's symbolic method can be merged into Newton-Leibniz integration theory in a broad way.We show that the quantum-mechanical fundamental representations, say, the coordinate representation, the coherent state representation, the Fan-Klauder entangled state representation can be recast into s-ordering operator expansion, which is elegant in form and has many applications in deriving new operator identities. This demonstrates that Dirac’s symbolic method can be merged into Newton-Leibniz integration theory in a broad way.

关 键 词：s-ordering operator expansion operator identities quantum mechanical representation 

分 类 号：O413.1[理学—理论物理] F274[理学—物理]