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.

引用

页码：2150 / 2154

页数：5

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