Exactly solvable hydrogen-like potentials and the factorization method

Journal of Physics A: Mathematical and General

Volumn 31, Issue 50, 1998, Pages 10163-10179

  Rosas Ortiz, J Oscar ^a,b  

^a UNIVERSITY OF VALLADOLID   (Spain)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038929403     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/50/012     Document Type: Article

References (34)

1. Schrödinger E 1940 Proc. R. Ir. Acad. A 46 9
2. Infeld L and Hull T E 1951 Rev. Mod. Phys. 23 21
3. Mielnik B 1984 J. Math. Phys. 25 3387
4. Fernández D J C 1984 Lett. Math. Phys. 8 337
5. Fernández D J C, Hussin V and Nieto L M 1994 J. Phys. A: Math. Gen. 27 3547 Fernández D J C, Nieto L M and Rosas-Ortiz O 1995 J. Phys. A: Math. Gen. 28 2693 Rosas-Ortiz J O 1996 J. Phys. A: Math. Gen. 29 3281
6. Fernández D J C, Hussin V and Nieto L M 1994 J. Phys. A: Math. Gen. 27 3547 Fernández D J C, Nieto L M and Rosas-Ortiz O 1995 J. Phys. A: Math. Gen. 28 2693 Rosas-Ortiz J O 1996 J. Phys. A: Math. Gen. 29 3281
7. Fernández D J C, Hussin V and Nieto L M 1994 J. Phys. A: Math. Gen. 27 3547 Fernández D J C, Nieto L M and Rosas-Ortiz O 1995 J. Phys. A: Math. Gen. 28 2693 Rosas-Ortiz J O 1996 J. Phys. A: Math. Gen. 29 3281
8. Seshadri S, Balakrishnan V and Lakshmibala S 1998 J. Math. Phys. 39 838
9. Junker G and Roy P 1997 Supersymmetric construction of exactly solvable potentials and nonlinear algebras Preprint quant-ph/9709021
10. Darboux G 1882 Comput. Rend. Acad. Sci. 94 1456
11. Witten E 1981 Nucl. Phys. B 188 513 Witten E 1982 Nucl. Phys. B 202 253 Nieto MM 1984 Phys. Lett. B 145 208 Alves N A and Drigo Filho E 1988 J. Phys. A: Math. Gen. 21 3215 Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
12. Witten E 1981 Nucl. Phys. B 188 513 Witten E 1982 Nucl. Phys. B 202 253 Nieto MM 1984 Phys. Lett. B 145 208 Alves N A and Drigo Filho E 1988 J. Phys. A: Math. Gen. 21 3215 Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
13. Witten E 1981 Nucl. Phys. B 188 513 Witten E 1982 Nucl. Phys. B 202 253 Nieto MM 1984 Phys. Lett. B 145 208 Alves N A and Drigo Filho E 1988 J. Phys. A: Math. Gen. 21 3215 Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
14. Witten E 1981 Nucl. Phys. B 188 513 Witten E 1982 Nucl. Phys. B 202 253 Nieto MM 1984 Phys. Lett. B 145 208 Alves N A and Drigo Filho E 1988 J. Phys. A: Math. Gen. 21 3215 Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
15. Witten E 1981 Nucl. Phys. B 188 513 Witten E 1982 Nucl. Phys. B 202 253 Nieto MM 1984 Phys. Lett. B 145 208 Alves N A and Drigo Filho E 1988 J. Phys. A: Math. Gen. 21 3215 Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
16. Carrol R W 1979 Transmutation and Operator Differential Equations vol 37 (Amsterdam: North-Holland)
17. Andrianov A A, Borisov N V and Ioffe M V 1985 Teor. Mat. Fiz. 61 1078 Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Samsonov B F 1995 J. Phys. A: Math. Gen. 28 6989 Eleonsky V M and Korolev V G 1997 Phys. Rev. A 55 2580
18. Andrianov A A, Borisov N V and Ioffe M V 1985 Teor. Mat. Fiz. 61 1078 Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Samsonov B F 1995 J. Phys. A: Math. Gen. 28 6989 Eleonsky V M and Korolev V G 1997 Phys. Rev. A 55 2580
19. Andrianov A A, Borisov N V and Ioffe M V 1985 Teor. Mat. Fiz. 61 1078 Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Samsonov B F 1995 J. Phys. A: Math. Gen. 28 6989 Eleonsky V M and Korolev V G 1997 Phys. Rev. A 55 2580
20. Andrianov A A, Borisov N V and Ioffe M V 1985 Teor. Mat. Fiz. 61 1078 Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Samsonov B F 1995 J. Phys. A: Math. Gen. 28 6989 Eleonsky V M and Korolev V G 1997 Phys. Rev. A 55 2580
21. Fernández D J C 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15
22. Fernández D J C 1997 Int. J. Mod. Phys. A 12 171 Fernández D J, Glasser M L and Nieto L M 1998 Phys. Lett. A 240 15
23. Rosas-Ortiz J O 1997 PhD Thesis CINVESTAV-IPN, México
24. Rosas-Ortiz J O 1998 J. Phys. A: Math. Gen. 31 L507
25. Fernández D J C, Hussin V and Mielnik B 1998 Phys. Lett. A 244 309
26. Crum M M 1955 Q. J. Math. 6 121
27. Ince E L 1926 Ordinary Differential Equations (New York: Dover)
28. Fernández D J C, Negro J and del Olmo M A 1996 Ann. Phys. 252 386
29. Nag N and Roychoudhury R 1995 J. Phys. A: Math. Gen. 28 3525 See also the discussion about exactly solvable models and Darboux transformations in Schnizer W A and Leeb H 1993 J. Phys. A: Math. Gen. 26 5145
30. Nag N and Roychoudhury R 1995 J. Phys. A: Math. Gen. 28 3525 See also the discussion about exactly solvable models and Darboux transformations in Schnizer W A and Leeb H 1993 J. Phys. A: Math. Gen. 26 5145
31. Wang Z X and Guo D R 1989 Special Functions (Singapore: World Scientific)
32. Abraham P B and Moses H E 1980 Phys. Rev. A 22 1333
33. Junker G and Roy P 1998 Conditionally exactly solvable potentials. A supersmmetric construction method Preprint quant-ph/9803024
34. Mielnik B, Nieto L M and Rosas-Ortiz O 1998 The finite difference SUSY algorithm Preprint Universidad de Valladolid