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...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.展开更多
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)+1 种基金the Higher School Fund of Outstanding Young Talent(Grant No.2010SQRL132)the Scientific Research Starting Foundation of Chizhou University(Grant No.2010RC036)
文摘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.
