Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2)

Annals of Physics

Volumn 315, Issue 2, 2005, Pages 566-581

  Dong, Shi Hai ^a   Tang, Yu ^b   Sun, Guo Hua ^c   Lara Rosano, F ^b   Lozada Cassou, M ^a  

^a INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^c IIMAS UNAM   (Mexico)

Author keywords

Controllability; Modified P schl Teller potential; SU(2) group

Indexed keywords

EID: 13244267163     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aop.2004.09.003     Document Type: Article

References (66)

1. G.M. Huang T.J. Tarn J.W. Clark J. Math. Phys. 24 1983 2608
2. D.P. DiVincenzo Science 270 1995 13
3. H. Rabitz R. de Vivie-Riedle M. Motzkus K. Kompa Science 288 2000 824
4. V. Ramakrishna H. Rabitz Phys. Rev. A 61 2000 032106
5. P. Král Z. Amitay M. Shapiro Phys. Rev. Lett. 89 2002 063002
6. N. Khaneja S.J. Glaser Chem. Phys. 267 2001 11
7. N. Khaneja S.J. Glaser Phys. Rev. A 63 2001 032308
8. A.I. Solomon S.G. Schirmer Int. J. Mod. Phys. B 16 2002 2107
9. D. D'Alessandro, in: Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, December, 2000
10. M. Zhao S. Rice J. Chem. Phys. 95 1991 2465
11. J.L. Herek W. Wohlleben R.J. Cogdell D. Zeidler M. Motzkus Nature 417 2002 533
12. D. D'Alessandro M. Dahleh IEEE Trans. Automat. Contr. 46 2001 866
13. S. Chu Nature 416 2002 206
14. T. Brixner N.H. Damrauer P. Niklaus G. Gerber Nature 414 2001 57
15. S.M. Hurley A.W. Castleman Science 292 2001 648
16. W.P. Schleich Nature 397 1999 207
17. D. Meshulach Y. Silberberg Nature 396 1998 239
18. de Araujo LEE I.A. Walmsley C.R. Stroud Phys. Rev. Lett. 81 1998 955
19. D. Deutsch Proc. R. Soc. Lond. A 400 1985 97
20. P.W. Shor, in: Shafi Godwasser (Ed.), Proceeding of 35th Annual Symposium on Foundations of Computer Science, Sante Fe, NM, 1994, IEEE Computer Society Press, Los Alomitos, CA, 1994, p. 124
21. L. Grover, in: Proceeding of the 28th Annual ACM Symposium on the Theory of Computation, ACM Press, New York, 1996, p. 212
22. P.A. Benioff J. Stat. Phys. 22 1980 563
23. Benioff P.A. Phys. Rev. Lett. 48 1982 1581
24. Benioff P.A. J. Stat. Phys. 29 1982 515
25. Benioff P.A. Ann. N.Y. Acad. Sci. 480 1986 475
26. R.P. Feynman Opt. News 11 1985 11
27. Feynman R.P. Found. Phys. 16 1986 507
28. Feynman R.P. Int. J. Theor. Phys. 21 1982 467
29. T.J. Tarn, J.W. Clark, D.G. Lucarelli, in: Proceeding of the 39th IEEE Conference on Decision and Control, Sydney, Australia, December, 2000
30. S.H. Dong Y. Tang G.H. Sun Phys. Lett. A 320 2003 145
31. S.G. Schirmer A.D. Greentree V. Ramakrishna H. Rabitz J. Phys. A: Math. Gen. 35 2002 8315
32. S.G. Schirmer A.I. Solomon J.V. Leahy J. Phys. A: Math. Gen. 35 2002 8551
33. S.G. Schirmer A.I. Solomon J.V. Leahy J. Phys. A: Math. Gen. 35 2002 4125
34. S.G. Schirmer I.C.H. Pullen A.I. Solomon J. Phys. A: Math. Gen. 35 2002 2327
35. M. Berrondo A. Palma J. Phys. A: Math. Gen. 13 1980 773
36. A. Frank P. Van Isacker Algebraic Methods in Molecular and Nuclear Structure Physics 1994 Wiley New York
37. F. Iachello R.D. Levine Algebraic Theory of Molecules 1995 Univ. Press Oxford
38. J.W. Clark, D.G. Lucarelli, T.J. Tarn, nucl-th/0205005
39. V. Jurdjevic H. Sussmann J. Differ. Equa. 12 1972 313
40. H. Kunita Appl. Math. Optim. 5 1976 89
41. E. Schrödinger Proc. R. Irish Acad. A 46 9 1940 183
42. L. Infeld T.E. Hull Rev. Mod. Phys. 23 1951 21
43. G. Haidinger N. Bessis G. Bessis J. Math. Phys. 15 1974 716
44. G. Pöschl E. Teller Z. Phys. 83 1933 143
45. S.H. Dong R. Lemus Int. J. Quantum Chem. 86 2002 265
46. S.S. Dong S.H. Dong Czech. J. Phys. 52 2002 753
47. T. Carrington J. Mol. Phys. 70 1990 757
48. F. Iachello S. Oss Chem. Phys. Lett. 205 1993 285
49. L.D. Landau E.M. Lifshitz Quantum Mechanics, Non-Relativistic Theory third ed. 1977 Pergamon
50. S. Flügge Practical Quantum Mechanics 1971 Springer-Verlag Berlin
51. P. Lax Commun. Pure Appl. Math. 27 1968 97
52. Y. Alhassid F. Gürsey F. Iachello Ann. Phys. 148 1983 346
53. A. Messiah Quantum Mechanics vol. II 1962 North-Holland Amsterdam
54. Z.X. Wang D.R. Guo Special Functions 1989 World Scientific Singapore
55. S.H. Dong R. Lemus A. Frank Int. J. Quantum Chem. 86 2002 433
56. S.H. Dong Can. J. Phys. 80 2002 129
57. S.H. Dong Z.Q. Ma Am. J. Phys. 70 2002 520
58. S.H. Dong Z.Q. Ma Int. J. Mod. Phys. E 11 2 2002 155
59. S.S. Dong S.H. Dong Int. J. Mod. Phys. E. 11 2002 265
60. S.H. Dong App. Math. Lett. 16 2003 199
61. S.H. Dong G.H. Sun Y. Tang Int. J. Mod. Phys. E 12 2003 809
62. S.H. Dong Comput. Math. Appl. 47 2004 1035
63. S.H. Dong G.H. Sun M. Lozada-Cassou Phys. Lett. A 328 2004 299
64. J.D. Talman Special Functions: A Group Theoretic Approach, Mathematical Physics Monograph Series 1968 W.A. Benjamin New York
65. A. Perelomov Generalized Coherent States and their Applications 1985 Springer New York
66. R. Gilmore Lie Groups, Lie Algebras and Some of Their Applications 1974 Wiley New York