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.
引用
收藏
页码：23 / 35
页数：13
相关论文
共 50 条
  • [21] Entangled coherent states for systems with SU(2) and SU(1,1) symmetries
    Wang, XG
    Sanders, BC
    Pan, SH
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (41): : 7451 - 7467
  • [22] Maximally Entangled SU(1,1) Semi Coherent States
    Obada, A. -S. F.
    Ahmed, M. M. A.
    Ali, Hoda A.
    Abd-Elnabi, Somia
    Sanad, S.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (04) : 1425 - 1437
  • [23] Statistical properties of the nonlinear SU(1,1) coherent states
    Song, TQ
    Fan, HY
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 37 (05) : 593 - 596
  • [24] THE UNIVERSAL PROPAGATOR FOR AFFINE [OR SU(1,1)] COHERENT STATES
    KLAUDER, JR
    TOME, WA
    JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (11) : 3700 - 3709
  • [25] Maximally Entangled SU(1,1) Semi Coherent States
    A.-S. F. Obada
    M. M. A. Ahmed
    Hoda A. Ali
    Somia Abd-Elnabi
    S. Sanad
    International Journal of Theoretical Physics, 2021, 60 : 1425 - 1437
  • [26] Two-mode coherent states for SU(1,1)⊗SU(1,1) -: art. no. 033812
    Gerry, CC
    Benmoussa, A
    PHYSICAL REVIEW A, 2000, 62 (03): : 15
  • [27] Effect of thermal noise on the nonclassicality of SU(1,1) and SU(2) coherent states
    Zehtabzadeh, Fataneh
    Faghihi, Mohammad Javad
    Baghshahi, Hamid Reza
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (04):
  • [28] SU(1,1)-displaced coherent states, photon counting, and squeezing
    Gazeau, J. P.
    del OLMo, M. A.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2023, 40 (05) : 1083 - 1091
  • [29] Coherent states of su(1,1): correlations, fluctuations, and the pseudoharmonic oscillator
    Schliemann, John
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (13)
  • [30] Analytic representations based on SU(1,1) coherent states and their applications
    Brif, C
    Vourdas, A
    Mann, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (18): : 5873 - 5885
12345