Eigenkets of the q-deformed creation operator

被引：0

作者：

Xu, Ye-jun ^{[1
,2
]}

Song, Jun ^{[2
]}

Fan, Hong-yi ^{[3
]}

Liu, Qiu-yu ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

[2] W Anhui Univ, Dept Math & Phys, Luan 237012, Peoples R China

[3] Univ Sci & Technol China, Dept Mat Sci & Engn, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 09期

基金：

中国国家自然科学基金;

关键词：

BOSON OPERATORS; COHERENT STATES; Q-ANALOG; OSCILLATOR; REPRESENTATION; COMBINATORICS; INTEGRATION;

D O I：

10.1063/1.3485041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the contour integral representation of delta-function and the technique of integration within an ordered product of operators, we point out that the q-deformed creation operator possesses the eigenkets. A set of new completeness and orthogonality relations composed of the kets and bras which are not mutually Hermitian conjugates are derived. Application of the completeness relation in constructing the generalized P-representation of density operator is demonstrated. (C) 2010 American Institute of Physics. [doi:10.1063/1.3485041]

引用

页数：7

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