On the quantum motion of a generalized time-dependent forced harmonic oscillator

Annals of Physics

Volumn 323, Issue 9, 2008, Pages 2253-2264

  Lopes de Lima, Alberes ^a   Rosas, Alexandre ^a   Pedrosa, I A ^a  

^a FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

Gaussian wave packet; Harmonic oscillator; Linear invariants

Indexed keywords

EID: 48749090013     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2007.12.006     Document Type: Article

References (53)

1. Caldirola P. Nuovo Cimento 18 (1941) 393
2. Kanai E. Prog. Theor. Phys. 3 (1948) 440
3. Greenberger D.M. J. Math. Phys. 15 (1974) 395
4. Hasse R.W. J. Math. Phys. 16 (1975) 2005
5. Khandekar D.C., and Lawaude S.V. J. Math. Phys. 16 (1975) 384
6. Dekker H. Phys. Rep. 80 (1981) 1
7. Pedrosa I.A. J. Math. Phys. 28 (1987) 2662
8. Brown L.S. Phys. Rev. Lett. 66 (1991) 527
9. Agarwal G.S., and Kumar S.A. Phys. Rev. Lett. 67 (1991) 3665
10. Dantas C.M.A., Pedrosa I.A., and Baseia B. Phys. Rev. A 45 (1992) 1320
11. Ji J.Y., Kim J.K., Kim S.P., and Soh K.S. Phys. Rev. A 52 (1995) 3352
12. Maamache M. Phys. Rev. A 52 (1995) 936
13. Maamache M. J. Phys. A: Math. Gen. 29 (1996) 2833
14. Ge Y.G., and Child M.S. Phys. Lett. 78 (1997) 2507
15. Mostafazadeh A. Phys. Rev. A 55 (1997) 4084
16. Pedrosa I.A. Phys. Rev. A 55 (1997) 3219
17. Pedrosa I.A., Serra G.P., and Guedes I. Phys. Rev. A 56 (1997) 4300
18. Zhukov A.V. Phys. Lett. A 256 (1999) 325
19. Choi J.R., and Kwron B.H. Int. J. Mod. Phys. B 16 (2002) 4733
20. Choi J.R. Int. J. Mod. Phys. B 16 (2002) 1341
21. Pedrosa I.A., and Guedes I. Mod. Phys. Lett. B 16 (2002) 637
22. Yeon K.H., Um C.I., and George T.F. Phys. Rev. A 68 (2004) 052108
23. Pedrosa I.A. Mod. Phys. Lett. B 18 (2004) 1267
24. Um C.I., Yeon K.H., and George T.F. Phys. Rep. 362 (2002) 63 and references therein
25. Gao X.C., Xu J.B., and Qian T.Z. Ann. Phys. 204 (1990) 235
26. Yüce C. Ann. Phys. 308 (2003) 599
27. Colegrave R.K., and Abdalla M.S. Opt. Act. 28 (1981) 495
28. Choi J.R. Int. J. Theor. Phys. 43 (2004) 2113
29. Pedrosa I.A., Rosas A., and Guedes I. J. Phys. A: Math. Gen. 38 (2005) 7757
30. Nassar A.B. Phys. Lett. 106A (1984) 43
31. Lemos N.A., and Natividade C.P. Nuovo Cimento B 99 (1987) 211
32. Pedrosa I.A., and Bezerra V.B. Mod. Phys. Lett. A 12 (1997) 1111
33. Husimi K. Prog. Theor. Phys. 9 (1953) 3811
34. Kermer E.H. Can. J. Phys. 36 (1958) 371
35. Liang M., Yuan B., and Zhung K. Can. J. Phys. 80 (2002) 1559
36. Liang M.-L., and Wu H.-B. Physica Scripta 68 (2003) 41
37. Jannussis A.D., Brodimas G.N., and Streclas A. Phys. Lett. 74A (1979) 6
38. Khandekar D.C., and Lawaude S.V. J. Math. Phys. 20 (1979) 1870
39. Um C.I., Yeon K.H., and Kahng W.H. J. Phys. A: Math. Gen. 20 (1987) 611
40. Oh H.G., Lee H.R., George T.F., and Um C.I. Phys. Rev. A 39 (1989) 5515
41. Song D.Y. Phys. Rev. A 59 (1999) 2616
42. Song D.Y. Phys. Rev. A 61 (2000) 024102
43. Kim H.C., Lee M.H., Ji J.Y., and Kim J.K. Phys. Rev. A 53 (1996) 3767
44. Akhundova E.A., and Mukhtarov M.A. J. Phys. A: Math. Gen. 28 (1995) 5287
45. Lo C.F. Phys. Rev. A 43 (1991) 404
46. Dodonov V.V., and Man'ko V.I. Phys. Rev. A 20 (1979) 550
47. Yeon K.H., Kim D.H., Um C.I., George T.F., and Pandey L.N. Phys. Rev. A 55 (1997) 4023
48. Yeon K.H., Um C.I., and George T.F. Phys. Rev. A 68 (2003) 052108
49. Vaidyanathan R. J. Math. Phys. 23 (1982) 1346
50. Lewis Jr. H.R., and Riesenfeld W.B. J. Math. Phys. 10 (1969) 1458
51. Bohm D. Quantum Theory (1962), Prince-Hall, New York p. 202
52. Stoler D. Phys. Rev. D1 1 (1970) 3217
53. Powell J.L., and Crasemann B. Quantum Mechanics (1965), Addison-Wesley Publishing Company, INC pp. 182-184