The two-variable coherent states of the quantum algebra su(q)(1,1)

被引:0
|
作者
Gong, RS [1 ]
机构
[1] CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By means of the k-order q-boson realizations of su(q)(1, 1), a new kind of q-coherent states, the two-variable coherent states, are introduced for the quantum algebra su(q)(1, 1). They are relative to a definite irreducible representation of su(q)(1, 1) and shown to satisfy a completeness relation in a subspace of q-boson's Fock space. With the help of these coherent states the z-representation, representation in functional space, for su(q)(1, 1) is also discussed.
引用
收藏
页码:231 / 236
页数:6
相关论文
共 50 条
  • [31] ONE-PARTICLE DETECTORS WITH SU(1,1) COHERENT STATES IN QUANTUM MEASUREMENT
    KAKAZU, K
    OGAWA, A
    PROGRESS OF THEORETICAL PHYSICS, 1991, 86 (04): : 943 - 958
  • [32] On the eigenvalue problem of the su(1,1)-algebra and the coupling scheme of two su(1,1)-spins
    Nishiyama, S
    da Providência, J
    Tsue, Y
    Yamamura, M
    PROGRESS OF THEORETICAL PHYSICS, 2005, 113 (01): : 153 - 168
  • [33] Deformed su (1,1) Algebra as a Model for Quantum Oscillators
    Jafarov, Elchin I.
    Stoilova, Neli I.
    Van der Jeugt, Joris
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
  • [34] Quantum hypercomputation based on the dynamical algebra su(1,1)
    Sicard, A.
    Ospina, J.
    Velez, M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (40): : 12539 - 12558
  • [35] Nonlinear squeezed states for SU(1,1) Lie algebra
    A.-S. F. Obada
    G. M. Abd Al-Kader
    The European Physical Journal D, 2007, 41 : 189 - 198
  • [36] Nonlinear squeezed states for SU(1,1) Lie algebra
    Obada, A. -S. F.
    Al-Kader, G. M. Abd
    EUROPEAN PHYSICAL JOURNAL D, 2007, 41 (01): : 189 - 198
  • [37] SU(2) andSU(1,1) algebra eigenstates: A unified analytic approach to coherent and intelligent states
    Constantin Brif
    International Journal of Theoretical Physics, 1997, 36 : 1651 - 1682
  • [38] Q-Deformed SU(1,1) and SU(2) Squeezed and Intelligent States and Quantum Entanglement
    Rouabah, M. T.
    Mebarki, N.
    Ghiti, M. F.
    8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011), 2012, 1444 : 241 - 245
  • [39] Generalized su(1,1) algebra and the construction of nonlinear coherent states for Poschl-Teller potential
    Belfakir, Abdessamad
    Hassouni, Yassine
    PHYSICS LETTERS A, 2020, 384 (24)
  • [40] SU(1,1) coherent states as Bessel-Gauss states
    Hacyan, S.
    REVISTA MEXICANA DE FISICA, 2008, 54 (06) : 451 - 453