Oscillators in one and two dimensions and ladder operators for the morse and coulomb problems

International Journal of Quantum Chemistry

Volumn 62, Issue 2, 1997, Pages 177-183

  Nunez Yepez H N ^a   Lopez Bonilla J L ^b   Navarrete, D ^b   Salas Brito, A L ^b  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

^b UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039922792     PISSN: 00207608     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-461X(1997)62:2<177::AID-QUA6>3.0.CO;2-T     Document Type: Article

References (53)

1. P. W. Atkins, Molecular Quantum Mechanics (Clarendon Press, Oxford, 1970).
2. F. Mandl and G. Shaw, Quantum Field Theory (Wiley, Chichester, 1984).
3. O. L. de Lange and R. E. Raab, Operators Methods in Quantum Mechanics (Clarendon Press, Oxford, 1991).
4. J. Benítez, R. P. Martínez-y-Romero, H. N. Núñez-Yépez, and A. L. Salas-Brito, Phys. Rev. Lett. 64, 1643 (1990); Ibid. 65, 2085 (E) (1990).
5. J. Benítez, R. P. Martínez-y-Romero, H. N. Núñez-Yépez, and A. L. Salas-Brito, Phys. Rev. Lett. 64, 1643 (1990); Ibid. 65, 2085(E) (1990).
6. R. P. Martínez-y-Romero, H. N. Núñez-Yépez, and Salas-Brito, Eur. J. Phys. 16, 3 (1995).
7. L. de-la-Peña and R. Montemayor, Am. J. Phys. 48, 855 (1980).
8. L. Infeld and T. E. Hull Rev. Mod. Phys. 23, 21 (1951).
9. A. E. Glassgold and D. Holliday, Phys. Rev. A 138, 1717 (1965).
10. J. Morales, A. Palma, and L. Sandoval, Int. J. Quantum Chem. 29, 211 (1986).
11. J. Morales, J. López-Bonilla, and A. Palma, J. Math. Phys. 28, 1032 (1987).
12. V. Gaftoi, J. López-Bonilla, D. Navarrete, and J. Morales, Rev. Mex. Fis. 36, 310 (1990).
13. V. Gaftoi, J. López-Bonilla, J. Morales, and D. Navarrette, Rev. Mex. Fis. 36, 649 (1990).
14. J. H. Epstein and S. T. Epstein, Am. J. Phys. 30, 266 (1962).
15. J. López-Bonilla, J. Morales, and M. A. Rosales, Int. J. Quantum Chem. 53, 3 (1995).
16. J. Morales, J. J. Peña, and J. López-Bonilla, J. Mol. Struct. (Theochem) 330, 63 (1995).
17. P. R. Wallace, Mathematical Analysis of Physical Problems (Dover, New York, 1985), Chap. 9.
18. D. S. Carlstone, Am. J. Phys. 40, 1459 (1972).
19. J. Morales, J. J. Pena, M. Sánchez, and J. López-Bonilla, Int. J. Quantum Chem. S25, 155 (1991).
20. J. Morales, G. Arreaga, J. J. Pena, and J. López-Bonilla, Int. J. Quantum Chem. S26, 171 (1992).
21. M. Berrondo, A. Palma, and J. López-Bonilla, Int. J. Quantum Chem. 31, 243 (1987).
22. I. L. Cooper, J. Phys. A: Math. Gen. 26, 1601 (1993).
23. M. Moshinsky, T. H. Seligman, and K. B. Wolf, J. Math. Phys. 16, 862 (1975).
24. D. Bateman, C. Boyd, and B. Dutta-Roy, Am. J . Phys. 60, 833 (1992).
25. S. Y. Lee, Am. J. Phys. 53, 753 (1985).
26. N. Aquino, R. Gómez, J. López-Bonilla, J. Morales, and D. Navarrete, Rev. Mex. Fis. 37, 343 (1991).
27. Z. W. Salsburg, Am. J. Phys. 33, 36 (1965).
28. V. A. Kostelecky and M. M. Nieto, Phys. Rev. Lett. 53, 2285 (1984).
29. C. V. Sukumar, J. Phys. A: Math. Gen. 18, 157 (1985).
30. R. W. Haymaker and A. Rau, Am. J. Phys. 54, 928 (1986).
31. H. R. Hauslin, Helv. Phys. Acta 61, 901 (1988).
32. M. Abramowitz and J. A. Stegun, Handbook of Mathematical Functions (Wiley, New York, 1972) Chap. 22.
33. A. P. Prudnikov, Yu. Brychkov, and O. J. Marichev, Integrals and Series, Vol. 2: Special Functions (Gordon and Breach, New York, 1986), p. 504, no. 18.
34. P. M. Morse, Phys. Rev. 34, 57 (1929).
35. R. Montemayor and L. Urrutia, Am. J. Phys. 51, 641 (1982).
36. J. N. Huffaker and P. H. Dwivedi, J. Math. Phys. 16, 862 (1975).
37. M. Berrondo and A. Palma, in Group Theoretical Methods in Physics, K. B. Wolf, Ed. (Springer-Verlag, Berlin, 1981), p. 3.
38. R. Das and A. B. Sannigrahi, J. Chem. Ed. 58, 383 (1981).
39. R. E. Langer, Phys. Rev. 51, 669 (1937).
40. E. Chacón, D. Levi, and M. Moshinsky, J. Math. Phys. 17, 1919 (1975).
41. D. Yi-Bing, J. Phys. A: Math. Gen. 20, 6293 (1987).
42. N. Bessis and G. Bessis, J. Phys. A: Math. Gen. 20, 5755 (1987).
43. R. P. Martínez-y-Romero, H. N. Núñez-Yépez, and A. L. Salas-Brito, Eur. J. Phys. 12, 26 (1992).
44. D. Bergmann and Y. Frishman, J. Math. Phys. 6, 1855 (1965).
45. H. N. Núñez-Yépez, J. López-Bonilla, and A. L. Salas-Brito, J. Phys. B: Atom. Mol. Opt. Phys. 28, L525 (1995).
46. R. C. Hwá and J. Nuyts, Phys. Rev. 145, 145 (1966).
47. E. B. Manoukian, J. Phys. A: Math. Gen. 20, 5565 (1987).
48. L. S. Davtyan, L. G. Mardoyan, G. S. Pogosyan, A. N. Sissakian, and V. M. Ter-Antonyan, J. Phys. A: Math. Gen. 20, 6121 (1987).
49. E. Drigo Filho, J. Phys. A: Math. Gen. 21, L1025 (1988).
50. J. Plebański and M. Przanowski, Rev. Mex. Fis. 36, 465 (1990).
51. R. P. Martínez-y-Romero and A. L. Salas-Brito, J. Math. Phys. 33, 1831 (1992).
52. O. L. de Lange, J. Math. Phys. 32, 1296 (1991).
53. O. L. de Lange, J. Phys. A 24, 667 (1991).