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]
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页数：7
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