Propagator for the time-dependent charged oscillator via linear and quadratic invariants

Annals of Physics

Volumn 322, Issue 12, 2007, Pages 2795-2810

  Abdalla, M Sebawe ^a   Choi, Jeong Ryeol ^b  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

^b SunMoon University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36048964617     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2007.01.006     Document Type: Article

References (39)

1. Jannussis A., Brodimas G.N., and Streclas A. Phys. Lett. A 174 (1979) 6
2. Cheng B.K. J. Phys. A 17 (1984) 819
3. March N.H., and Tosi M.P. J. Phys. A 18L (1985) 643
4. Manoyan J.M. J. Phys. A 19 (1986) 3013
5. Varro S., and Ehlotzky F. Phys. Rev. A 36 (1988) 497
6. Abdalla M.S. Phys. Rev. A 37 (1988) 4026
7. Abdalla M.S. IL Nuovo Cimento 101 (1988) 267
8. Dutra A.S., and Cheng B.K. Phys. Rev. A. 39 (1989) 5897
9. Abdalla M.S. IL Nuovo Cimento 105 (1990) 1119
10. Mijatovic M., Jannussis A., and Streclas A. Phys. Lett. A. 122 (1987) 31
11. Davies I.M. J. Phys. A. 18 (1985) 2737
12. Wigner E.P. Phys. Rev. 46 (1934) 1002
13. Wigner E.P. Trans. Faraday Soc. 34 (1938) 678
14. Schleich W.P. Quantum Optics in Phase Space (2002), Wiley-Vch Verlag, Berlin
15. Cahill K.E., and Glauber R.J. Phys. Rev. 177 (1969) 1882
16. Gallagher T.F., and Cocker W.E. Phys. Rev. Lett. 42 (1979) 835
17. Lewis H.R., and Riesenfeld W. J. Math. Phys. 10 (1969) 1458
18. Lewis H.R. Phys. Rev. Lett. 18 (1967) 510
19. Lewis H.R. J. Math. Phys. 9 (1968) 1976
20. Leach P.G.L. J. Math Phys. 18 (1977) 1902
21. Leach P.G.L. J. Math. Phys. 22 (1981) 465
22. Ray J.R., and Reid J.L. Phys. Rev. A 26 (1982) 1042
23. Lewis H.R., and Leach P.G.L. J. Math. Phys. 23 (1982) 165
24. Colegrave R.K., and Abdalla M.S. J. Phys. A: Math. Gen. 16 (1983) 3805
25. Colegrave R.K., Abdalla M.S., and Mannan M.A. J. Phys. A.: Math. Gen. 17 (1984) 1567
26. Abdalla M.S., and Leach P.G.L. J. Phys. A.: Math. Gen. 36 (2003) 12205
27. Ermakov V. Univ Izvestia Kiev Series III 9 (1880) 1
28. Eliezer C.J., and Gray A. SIAM J. Appl. Math. 30 (1976) 463
29. Pinney E. Proc. Amer. Math. Soc. 1 (1950) 681
30. Schrade G., Man'ko V.I., Schleich W.P., and Glauber R.J. Quantum Semicl. Opt. 7 (1995) 307
31. Abdalla M.S., and Leach P.G.L. J. Phys. A: Math Gen. 38 (2005) 881
32. Abdalla M.S. Phys. Rev. A 44 (1991) 2040
33. de Castro A.S.M., Dodonov V.V., and Mizrahi S.S. J. Opt. B: Quantum Semiclass. Opt. 4 (2002) S191
34. Dodonov A.V., Dodonov V.V., and Mizrahi S.S. J. Phys. A: Math Gen. 38 (2005) 683
35. de Castro A.S.M., and Dodonov V.V. J. Russ. Laser Res. 23 2 (2002)
36. Dodonov V.V., and Man'ko V.I. Physica 137 (1986) 306
37. Abdalla M.S. Phys. Rev. A 33 (1986) 2870
38. Feynman R.P., and Hibbs A.R. Quantum Mechanics and Path Integrals (1965), McGraw Hill, New York p.88
39. Erdély A. Higher Transcendental Functions vol. 2 (1953), McGraw-Hill, New York pp. 116-196