Construction of coherent states for physical algebraic systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 2, 2005, Pages

  Hassouni, Y ^a,b   Curado, E M F ^b   Rego Monteiro, M A ^b  

^a FACULTÉ DES SCIENCES   (Morocco)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT LIGHT; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; SET THEORY;

ALGEBRAIC SYSTEMS; ANNIHILATION OPERATOR; COHERENT STATES; HEISENBERG ALGEBRA;

LINEAR ALGEBRA;

EID: 33344458787     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.022104     Document Type: Article

References (23)

1. E. Schrödinger, Naturwiss. NATWAY 0028-1042 14, 664 (1926).
2. R. J. Glauber, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.2529 131, 2766 (1963).
3. J. R. Klauder, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704035 4, 1058 (1963).
4. See, for instance, J. R. Klauder and B. Skagerstam, Coherent States: Applications in Physics and Mathematical Physics (World Scientific, Singapore, 1985);
5. W.-M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.867 62, 867 (1990).
6. See, for instance, T. Shreecharan, P. K. Panigrahi, and J. Banerji, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.012102 69, 012102 (2004);
7. C. Quesne, J. Phys. A JPHAC5 0305-4470 35, 9213 (2002);
8. B. I. Lev, A. A. Semenov, C. V. Usenko, and J. R. Klauder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.022115 66, 022115 (2002);
9. S. Nouri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.062108 65, 062108 (2002);
10. G. S. Agarwal and J. Banerji, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.023815 64, 023815 (2001).
11. J. R. Klauder and B. S. Skagertan, Coherent States (World Scientific, Singapore, 1985).
12. A. M. Perelomov, Commun. Math. Phys. CMPHAY 0010-3616 26, 222 (1972).
13. A. J. Macfarlane, J. Phys. A JPHAC5 0305-4470 22, 4581 (1989);
14. L. C. Biedenharn, J. Phys. A JPHAC5 0305-4470 22, L415 (1989).
15. C. Quesne and N. Vansteenkiste, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/23/039 28, 7019 (1995).
16. E. M. F. Curado and M. A. Rego-Monteiro, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.6255 61, 6255 (2000).
17. E. M. F. Curado and M. A. Rego-Monteiro, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/15/304 34, 3253 (2001).
18. M. El Baz, Y. Hassouni, and F. Madouri, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/S0034-4877(02)80057-X 50, 263 (2002).
19. E. M. F. Curado, M. A. Rego-Monteiro, and H. N. Nazareno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.012105 64, 012105 (2001);
20. e-print hep-th 0012244.
21. E. M. F. Curado and M. A. Rego-Monteiro, Physica A PHYADX 0378-4371 295, 268 (2001);
22. E. M. F. Curado and M. A. Rego-Monteiro, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)00820-4 300, 205 (2002).
23. T. K. Kar and G. Ghosh, J. Phys. A JPHAC5 0305-4470 29, 125 (1996).