Construction of coherent states for physical algebraic systems

被引：40
作者：
Hassouni, Y
Curado, EMF
Rego-Monteiro, MA
机构：
[1] Univ Mohammed V Agdal, Phys Theor Lab, Fac Sci, Rabat, Morocco
[2] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, RJ, Brazil
来源：
PHYSICAL REVIEW A | 2005年 / 71卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.71.022104
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We construct a general state which is an eigenvector of the annihilation operator of the generalized Heisenberg algebra. We show, for several systems characterized by different energy spectra, that this general state satisfies the minimal set of conditions required to obtain Klauder's minimal coherent states.
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页数：7
相关论文
共 23 条
[1]   Reconstruction of SU(1,1) states [J].
Agarwal, GS ;
Banerji, J .
PHYSICAL REVIEW A, 2001, 64 (02) :7
[2]  
BIEDENHARN LC, 1989, J PHYS A, V22, pL415
[3]   Thermodynamic properties of a solid exhibiting the energy spectrum given by the logistic map [J].
Curado, EMF ;
Rego-Monteiro, MA .
PHYSICAL REVIEW E, 2000, 61 (06) :6255-6260
[4]   Non-linear generalization of the sl(2) algebra [J].
Curado, EMF ;
Rego-Monteiro, MA .
PHYSICS LETTERS A, 2002, 300 (2-3) :205-212
[5]   Heisenberg-type structures of one-dimensional quantum Hamiltonians [J].
Curado, EMF ;
Rego-Monteiro, MA ;
Nazareno, HN .
PHYSICAL REVIEW A, 2001, 64 (01) :121051-121055
[6]   Hidden symmetries in generalized su(2) algebras [J].
Curado, EMF ;
Rego-Monteiro, MA .
PHYSICA A, 2001, 295 (1-2) :268-275
[7]   Multi-parametric deformed Heisenberg algebras: a route to complexity [J].
Curado, EMF ;
Rego-Monteiro, MA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (15) :3253-3264
[8]  
CURADO EMF, HEPTH0012244
[9]   New construction of coherent states for generalized harmonic oscillators [J].
El Baz, M .
REPORTS ON MATHEMATICAL PHYSICS, 2002, 50 (02) :263-275
[10]   COHERENT AND INCOHERENT STATES OF RADIATION FIELD [J].
GLAUBER, RJ .
PHYSICAL REVIEW, 1963, 131 (06) :2766-+
123