Group approach to the factorization of the radial oscillator equation

Annals of Physics

Volumn 252, Issue 2, 1996, Pages 386-412

  Fernández C , David J ^a   Negro, Javier ^b   Del Olmo, Mariano A ^b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030589768     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.1996.0138     Document Type: Article

References (34)

1. 1. E. Schrödinger, Proc. R. Irish Acad. A 46 (1940), 183.
2. 2. L. Infeld and T. E. Hull, Rev. Mod. Phys. 23 (1951), 21.
3. 3. W. Miller, "Lie Theory and Special Functions," Academic Press, New York, 1968.
4. 4. E. Witten, Nucl. Phys. B 185 (1981), 513.
5. 5. M. M. Nieto, Phys. Lett. B 145 (1984), 208.
6. 6. C. V. Sukumar, J. Phys. A 18 (1985), L57.
7. 7. J. Beckers and V. Hussin, Phys. Lett. A 118 (1986), 319;
8. J. Beckers, D. Dehin, and V. Hussin, J. Phys. A 20 (1987), 1137.
9. 8. F. Cooper, A. Khare, and U. Sukhatme, Phys. Rep. 251 (1995), 267.
10. 9. B. Mielnik, J. Math. Phys. 25 (1984), 3387.
11. 10. D. J. Fernández C, Lett. Math. Phys. 8 (1984), 337.
12. 11. Z. Dongpei, J. Phys. A 20 (1987), 4331.
13. 12. Y.-B. Ding, J. Phys. A 20 (1987), 6293.
14. 13. N. A. Alves and E. Drigo-Filho, J. Phys. A 21 (1988), 3215; E. Drigo-Filho, J. Phys. A 21 (1988), L1025.
15. 13. N. A. Alves and E. Drigo-Filho, J. Phys. A 21 (1988), 3215; E. Drigo-Filho, J. Phys. A 21 (1988), L1025.
16. 14. G. Levai, J. Phys. A 22 (1989), 689.
17. 15. A. Stahlhofen and K. Bleuler, Nuovo. Cim. B 104 (1989), 447.
18. 16. O. L. de Lange, Am. J. Phys. 59 (1991), 151;
19. O. L. de Lange and R. E. Raab, "Operator in Quantum Mechanics," Clarendon, Oxford, 1991.
20. 17. I. L. Cooper, J. Phys. A 26 (1993), 1601.
21. 18. D. J. Fernández C., J. Negro, and M. A. del Olmo, in "Proceedings of the IVth Wigner Symposium, Guadalajara, México, 1995," p. 235, World Scientific, Singapore, 1996.
22. 19. Y. Alhassid, F. Gürsey, and F. Iachello, Ann. Phys. 148 (1983), 346.
23. 20. U. Niederer, Helv. Phys. Acta 46 (1973), 191.
24. 21. C. Boyer, Helv. Phys. Acta 47 (1974), 589.
25. 22. J. Negro, M. A. del Olmo, and A. Rodríguez-Marco, Non-relativistic conformal groups, preprint, Univ. Valladolid, 1996.
26. 23. H. Bacry and J. M. Lévy-Leblond, J. Math. Phys. 9 (1968), 1605.
27. 24. J. R. Derome and J. G. Dubois, Nuovo Cimento B 9 (1972), 351; J. G. Dubois, Nuovo Cimento B 15 (1973), 1.
28. 24. J. R. Derome and J. G. Dubois, Nuovo Cimento B 9 (1972), 351; J. G. Dubois, Nuovo Cimento B 15 (1973), 1.
29. 25. W. Miller, "Symmetry and Separation of Variables," Addison-Wesley, Reading, MA, 1977.
30. 26. P. B. Abraham and H. E. Moses, Phys. Rev. A 22 (1980), 1333.
31. 27. B. N Zakhariev, N. A. Kostov, and E. B. Plekhanov, Sov. J. Part. Nucl. 21 (1990), 384; V.M. Chabanov and B. N Zakhariev, Phys. Rev. A 49 (1994), 3159.
32. 27. B. N Zakhariev, N. A. Kostov, and E. B. Plekhanov, Sov. J. Part. Nucl. 21 (1990), 384; V.M. Chabanov and B. N Zakhariev, Phys. Rev. A 49 (1994), 3159.
33. 28. M. S. Kumar and A. Khare, Phys. Lett. A 217 (1996), 73.
34. 29. N. W. Evans, Phys. Rev. A 41 (1990), 5666.