ON THE CONSTRUCTION OF GENERALIZED SU(1,1) COHERENT STATES

被引：23
|
作者：
Berrada, K. [1 ,2 ]
El Baz, M. [1 ]
Hassouni, Y. [1 ]
机构：
[1] Univ Mohammed, Fac Sci, Lab Phys Theor URAC 13, Agdal V, Rabat, Morocco
[2] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2011年 / 68卷 / 01期
关键词：
SU(1,1) coherent states; quantum groups; generalized su(1,1) algebra; Mandel's parameter; quantum entanglement; CONTINUOUS-REPRESENTATION THEORY; QUANTUM; ANALOG;
D O I：
10.1016/S0034-4877(11)60025-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A general approach for building coherent states associated to generalized su(1, 1) algebra is developed. The problem of completeness of these coherent states is studied for some particular cases, and the physical properties of these states are investigated through the evaluation of Mandel's parameter using an alteration of the Holstein-Primakoff realization of the su(1, 1) algebra. It is shown that these states exhibit sub-Poissonian, Poissonian, or super-Poissonian statistics.
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页码：23 / 35
页数：13
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