First-order intertwining operators and position-dependent mass Schrödinger equations in d dimensions

Annals of Physics

Volumn 321, Issue 5, 2006, Pages 1221-1239

  Quesne, C ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Intertwining operator; Position dependent mass; Schr dinger equation; Supersymmetry

Indexed keywords

EID: 33645798666     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2005.11.013     Document Type: Article

References (64)

1. Ring P., and Schuck P. The Nuclear Many Body Problem (1980), Springer, New York
2. Arias de Saavedra F., Boronat J., Polls A., and Fabrocini A. Phys. Rev. B 50 (1994) 4248
3. Barranco M., Pi M., Gatica S.M., Hernández E.S., and Navarro J. Phys. Rev. B 56 (1997) 8997
4. Puente A., Serra Ll., and Casas M. Z. Phys. D 31 (1994) 283
5. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures, Editions de Physique, Les Ulis, 1988.
6. Serra L., and Lipparini E. Europhys. Lett. 40 (1997) 667
7. Quesne C., and Tkachuk V.M. J. Phys. A 37 (2004) 4267
8. Bender C.M., and Boettcher S. Phys. Rev. Lett. 80 (1998) 5243
9. Bender C.M., Brody D.C., and Jones H.F. Phys. Rev. Lett. 89 (2002) 270401
10. Bender C.M., Brody D.C., and Jones H.F. Phys. Rev. Lett. 92 (2004) 119902E
11. Mostafazadeh A. J. Math. Phys. 43 (2002) 205
12. Mostafazadeh A. J. Phys. A 36 (2003) 7081
13. Jones H.F. J. Phys. A 38 (2005) 1741
14. Mostafazadeh A. J. Phys. A 38 (2005) 6557
15. Dekar L., Chetouani L., and Hammann T.F. J. Math. Phys. 39 (1998) 2551
16. Dekar L., Chetouani L., and Hammann T.F. Phys. Rev. A 59 (1999) 107
17. Milanović V., and Ikonić Z. J. Phys. A 32 (1999) 7001
18. Plastino A.R., Rigo A., Casas M., Garcias F., and Plastino A. Phys. Rev. A 60 (1999) 4318
19. Plastino A.R., Puente A., Casas M., Garcias F., and Plastino A. Rev. Mex. Fis. 46 (2000) 78
20. de Souza Dutra A., and Almeida C.A.S. Phys. Lett. A 275 (2000) 25
21. de Souza Dutra A., Hott M., and Almeida C.A.S. Europhys. Lett. 62 (2003) 8
22. Roy B., and Roy P. J. Phys. A 35 (2002) 3961
23. Roy B., and Roy P. Phys. Lett. A 340 (2005) 70
24. Koç R., Koca M., and Körcük E. J. Phys. A 35 (2002) L527
25. Koç R., and Koca M. J. Phys. A 36 (2003) 8105
26. Koç R., and Tütüncüler H. Ann. Phys. (Leipzig) 12 (2003) 684
27. Alhaidari A.D. Phys. Rev. A 66 (2002) 042116
28. Gönül B., Gönül B., Tutcu D., and Özer O. Mod. Phys. Lett. A 17 (2002) 2057
29. Gönül B., Özer O., Gönül B., and Üzgün F. Mod. Phys. Lett. A 17 (2002) 2453
30. Gönül B., and Koçak M. Chin. Phys. Lett. 20 (2005) 2742
31. Bagchi B., Gorain P., Quesne C., and Roychoudhury R. Mod. Phys. Lett. A 19 (2004) 2765
32. Bagchi B., Gorain P., Quesne C., and Roychoudhury R. Czech. J. Phys. 54 (2004) 1019
33. Bagchi B., Banerjee A., Quesne C., and Tkachuk V.M. J. Phys. A 38 (2005) 2929
34. Bagchi B., Gorain P., Quesne C., and Roychoudhury R. Europhys. Lett. 72 (2005) 155
35. Yu J., Dong S.-H., and Sun G.-H. Phys. Lett. A 322 (2004) 290
36. Yu J., and Dong S.-H. Phys. Lett. A 325 (2004) 194
37. Chen G., and Chen Z. Phys. Lett. A 331 (2004) 312
38. Dong S.-H., and Lozada-Cassou M. Phys. Lett. A 337 (2005) 313
39. Alhaidari A.D. Phys. Lett. A 322 (2004) 72
40. Vakarchuk I.O. J. Phys. A 38 (2005) 4727
41. Bhattarcharjie A., and Sudarshan E.C.G. Nuovo Cimento 25 (1962) 864
42. Natanzon G.A. Theor. Math. Phys. 38 (1979) 146
43. Lévai G. J. Phys. A 22 (1989) 689
44. Alhassid Y., Gürsey F., and Iachello F. Ann. Phys. (N. Y.) 167 (1986) 181
45. Wu J., and Alhassid Y. J. Math. Phys. 31 (1990) 557
46. Englefield M.J., and Quesne C. J. Phys. A 24 (1991) 3557
47. Lévai G. J. Phys. A 27 (1994) 3809
48. Cooper F., Khare A., and Sukhatme U. Phys. Rep. 251 (1995) 267
49. Bagchi B. Supersymmetry in Quantum and Classical Mechanics (2000), Chapman and Hall/CRC, Boca Raton, FL
50. von Roos O. Phys. Rev. B 27 (1983) 7547
51. Scheunert M. The Theory of Lie Superalgebras (1979), Springer-Verlag, Berlin
52. Pöschl G., and Teller E. Z. Phys. 83 (1933) 143
53. Barut A.O., Inomata A., and Wilson R. J. Phys. A 20 (1987) 4075
54. Quesne C. J. Phys. A 21 (1988) 4487
55. Fernández D.J., Negro J., and del Olmo M.A. Ann. Phys. (N. Y.) 252 (1996) 386
56. Kostelecký V.A., and Nieto M.M. Phys. Rev. Lett. 53 (1984) 2285
57. Rau A.R.P. Phys. Rev. Lett. 56 (1986) 95
58. Kostelecký V.A., and Nieto M.M. Phys. Rev. Lett. 56 (1986) 96
59. Haymaker R.W., and Rau A.R.P. Am. J. Phys. 54 (1986) 928
60. Erdélyi A., Magnus W., Oberhettinger F., and Tricomi F.G. Higher Transcendental Functions (1953), McGraw-Hill, New York
61. Samani K.A., and Zarei M. Ann. Phys. (N. Y.) 316 (2005) 466
62. Olendski O., and Mikhailovska L. Phys. Rev. B 66 (2002) 035331
63. Gudmundsson V., Tang C.-S., and Manolescu A. Phys. Rev. B 72 (2005) 153306
64. Ioffe M.V. J. Phys. A 37 (2004) 10363