An su(1, 1) dynamical algebra for the Pöschl-Teller potential

Journal of Physics A: Mathematical and General

Volumn 37, Issue 3, 2004, Pages 877-893

  Arias, J M ^a   Gomez Camacho J ^a   Lemus, R ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742271170     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/3/023     Document Type: Article

References (48)

1. Wigner E P 1959 Group Theory in its Applications to the Quantum Mechanics of Atomic Spectra (New York: Academic)
2. Dutt R, Khare A and Sukhatme U P 1988 Am. J. Phys. 56 163
3. Pöschl G and Teller E Z 1933 Z. Phys. 83 143
4. Rosen N and Morse P M 1932 Phys. Rev. 42 210
5. Cooper F, Khare A and Sukhatme U P 1995 Phys. Rep. 251 268
6. Frank A and Wolf K B 1984 Phys. Rev. Lett. 52 1737
7. Alhassid Y, Engel J and Iachello F 1986 Phys. Rev. Lett. 57 9
8. Homburger H and Dierekensen G H F 1998 J. Math. Chem. 24 39
9. Bagchi B, Mallik S and Quesne C 2001 Int. J. Mod. Phys. 16 2859
10. Bagchi B and Quesne C 2000 Phys. Lett. A 273 285
11. Bagchi B, Mallik S and Quesne C 2002 Int. J. Mod. Phys. 17 51
12. Zúñiga J, Alacid M, Requena A and Bastida A 1996 Int. J. Quantum Chem. 57 43
13. Nieto M M 1978 Phys. Rev. A17 1263
14. Dong S H and Lemus R 2002 Int. J. Quantum Chem. 86 265
15. Lemus R and Bemal R 2002 Chem. Phys. 283 401
16. Frank A and Van Isacker P 1994 Algebraic Methods in Molecular and Nuclear Structure Physics (New York: Wiley)
17. Schrödinger E 1940 Proc. R. Ir. Acad. A 46 183
18. Infeld L and Hull T E 1951 Rev. Mod. Phys. 23 21
19. Choi Y S and Moore C B 1993 J. Chem. Phys. 110 1111
20. Child M S and Lawton R T 1981 Faraday Discuss Chem. Soc. 71 273
21. Child M S and Halonen L 1984 Adv. Chem. Phys. 1 1
22. Halonen L 1998 Adv. Chem. Phys. 104 41
23. Jensen P 2000 Mol. Phys. 98 1253
24. Lemus R, Carvajal M, López-V J C and Frank A 2002 J. Mol. Spectrosc. 214 52
25. Wigner E P and Eisenbud L 1947 Phys. Rev. 72 29 Burke P G and Berrington K A (ed) 1993 Atomic and Molecular Processes: An R-Matrix Approach (Bristol: Institute of Physics Publishing)
26. Wigner E P and Eisenbud L 1947 Phys. Rev. 72 29 Burke P G and Berrington K A (ed) 1993 Atomic and Molecular Processes: An R-Matrix Approach (Bristol: Institute of Physics Publishing)
27. Rotenberg M 1970 Adv. At. Mol. Phys. 6 233
28. Antonsen F 1999 Phys. Rev. A 60 812
29. Szmytkowski R and Zywicka-Mozejko B 2000 Phys. Rev. A 62 022104
30. Tolstikhin O I, Ostrovsky V N and Nakamura H 1998 Phys. Rev. A 58 2077
31. Lovas R G, Liotta R J, Insolia A, Varga K and Delion D S 1998 Phys. Rep. 294 265
32. Austern N, Iseri Y, Kamimura M, Kawai M, Rawitsher G and Yahiro M 1987 Phys. Rep. 154 125
33. Pérez-Bernal F, Martel I, Arias J M and Gómez- Camacho J 2001 Phys. Rev. A 63 052111
34. Flügge S 1971 Practical Quantum Mechanics (Berlin: Springer)
35. Landau L D and Lifshitz E M 1977 Quantum Mechanics (Oxford: Pergamon)
36. Gradshteyn I S and Ryzhik I M 1994 Tables of Integrals, Series, and Products 5th edn (New York: Academic)
37. Rose M E 1995 Elementary Theory of Angular Momentum (New York: Dover)
38. Van Roosmalen O S, Benjamin I and Levine R D 1984 J. Chem. Phys. 81 5986
39. Lemus R, Arias J M and Gómez-Camacho J An su(1, 1) dynamical group for the Morse potential J. Phys. A: Math. Gen. to be published
40. Wybourne R G 1974 Classical Groups for Physicists (New York: Wiley)
41. Bargmann V 1947 Ann. Math. 48 568
42. Perelomov A 1985 Generalized Coherent States and their Applications (New York: Springer)
43. Cooper I L 1993 J. Phys. A: Math. Gen. 26 1601
44. Alves N A and Filho D 1988 J. Phys. A: Math. Gen. 18 3215
45. Poulin N M, Bramley M J, Carrington T Jr, Kjaergaard H G and Henry B R 1996 J. Chem. Phys. 104 7807
46. Hollas J M 1998 High Resolution Spectroscopy (New York: Wiley)
47. Kittrell C 1995 Stimulated Emission Pumping by Fluorescence Dip: Experimental Methods, Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping (New Jersey: World Scientific)
48. Dai H-L and Field R W 1995 Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping (Singapore: World Scientific)