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

被引：4
|
作者：
Fan HongYi [2 ,3 ]
Xu YeJun [1 ]
Yuan HongChun [3 ,4 ]
机构：
[1] Chizhou Univ, Dept Phys Elect & Engn, Chizhou 247000, Peoples R China
[2] Univ Sci & Technol China, Dept Mat Sci & Engn, Hefei 230026, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[4] Changzhou Inst Technol, Coll Optoelect Engn, Changzhou 213002, Peoples R China
来源：
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2011年 / 54卷 / 12期
基金：
中国国家自然科学基金;
关键词：
s-ordering operator expansion; operator identities; quantum mechanical representation; VIRTUE;
D O I：
10.1007/s11433-011-4541-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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页码：2150 / 2154
页数：5
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