Linear and quadratic invariants for the transformed Tavis-Cummings model

Journal of Physics A: Mathematical and General

Volumn 36, Issue 49, 2003, Pages 12205-12221

  Abdalla, M Sebawe ^a   Leach, P G L ^b  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

^b UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347622672     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/49/005     Document Type: Article

References (31)

1. Lewis H R Jr 1968 J. Math. Phys. 9 1976 Lewis H R Jr 1967 Phys. Rev. Lett. 18 510, 636
2. Lewis H R Jr 1968 J. Math. Phys. 9 1976 Lewis H R Jr 1967 Phys. Rev. Lett. 18 510, 636
3. Lewis H R Jr and Riesenfeld W B 1969 J. Math. Phys. 10 1458
4. John R R 1979 J. Phys. A: Math. Gen. 16 3805
5. Lewis H R and Leach P G L 1982 J. Math. Phys. 23 165
6. Colegrave R K and Abdalla M S 1983 J. Phys. A: Math. Gen. 16 3805
7. Colegrave R K, Abdalla M S and Manna M A 1984 J. Phys. A: Math. Gen. 17 1567
8. Lutzky M 1980 J. Math. Phys. 21 1370
9. Vaidyanathan R 1982 J. Math. Phys. 23 1346
10. Wollenberg L S 1980 Phys. Lett. A 79 269
11. Vaidyanathan R 1981 Phys. Lett. A 84 93
12. Ray J R and Reid J L 1979 Phys. Lett. A 71 317
13. Leach P G L 1991 Phys. Lett. A 158 102
14. Lewis H R Jr, Leach P G L, Bouquet S and Feix M R 1992 J. Math. Phys. 33 591
15. Al-Gwaiz M A, Abdalla M S and Deshmukh S 1994 J. Phys. A: Math. Gen. 27 1275
16. Abdalla M S 1997 Nuovo Cimento B 112 1549
17. Abdalla M S and Bashir M A 1998 Quantum Semiclass. Opt. 10 415
18. Moshinsky M and Winternitz P 1980 J. Math. Phys. 21 1667
19. Bashir M A and Abdalla M S 1995 Phys. Lett. A 204 21
20. Abdalla M S, Hassan S S and Obada A-S F 1986 Phys. Rev. A 34 4869
21. Pinney E 1950 Proc. Am. Math. Soc. 1 681
22. Goldstein H 1982 Classical Mechanics 2nd edn (New York: Addison-Wesley)
23. Lu E Y C 1973 Phys. Rev. A 8 1053
24. Leach P G L 1977 J. Math. Phys. 18 1608
25. Ince E L 1927 Ordinary Differential Equations (London: Longmans Green)
26. Leach P G L 1977 J. Aust. Math. Soc. B 20 97
27. Wolf K B 1978 Private communication
28. Leach P G L 1978 SIAM J. Appl. Math. 34 496
29. Nucci M C and Leach P G L The essential harmony of the equations of mathematical physics Preprint Dipartimento di Matematica e Informatica, Universiti Perugia, 06123 Perugia, Italy
30. Ermakov V 1880 Univ. Izvestia. Kiev. 9 1
31. Leach P G L 1990 J. Phys. A: Math. Gen. 23 2695