Exact solutions of effective-mass Schrödinger equations

Modern Physics Letters A

Volumn 17, Issue 37, 2002, Pages 2453-2465

  Gönül, Bülent ^a   Özer, Okan ^a   Gönül, Beşire ^a   Üzgün, Fatma ^a  

^a GAZIANTEP UNIVERSITY   (Turkey)

Author keywords

Effective mass Hamiltonians; Exact solvability; Supersymmetry

Indexed keywords

ARTICLE; CALCULATION; ENERGY; KINETICS; MASS; MATHEMATICAL ANALYSIS; METHODOLOGY; MODEL; QUANTUM THEORY;

EID: 0037039098     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732302008514     Document Type: Article

References (38)

1. J. R. Shewell, Am. J. Phys. 27, 16 (1959).
2. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Les Editions de Physique, 1992).
3. L. I. Serra and E. Lipparini, Europhys. Lett. 40, 667 (1997).
4. F. Arias de Saavedra, J. Boronat, A. Polls and A. Fabrocini, Phys. Rev. B50, 4248 (1994).
5. M. Barranco, M. Pi, S. M. Gatica, E. S. Hernandez and J. Navarro, Phys. Rev. B56, 8997 (1997).
6. A. Puente, Li. Serrea and M. Casas, Z. Phys. D31, 283 (1994).
7. L. Dekar, L. Chetouani and T. H. Hammann, Phys. Rev. A59, 107 (1999); J. Math. Phys. 39, 2551 (1998).
8. L. Dekar, L. Chetouani and T. H. Hammann, Phys. Rev. A59, 107 (1999); J. Math. Phys. 39, 2551 (1998).
9. A. De Souza Dutra and C. A. S. Almeida, Phys. Lett. A275, 25 (2000).
10. A. R. Plastino, A. Rigo, M. Casas, F. Gracias and A. Plastino, Phys. Rev. A60, 4398 (1999).
11. V. Milanovic and Z. Ikovic, J. Phys. A: Math. Gen. 32, 7001 (1999).
12. B. Roy and P. Roy, J. Phys. A: Math. Gen. 35, 3961 (2002).
13. D. J. BenDaniel and C. B. Duke, Phys. Rev. B152, 683 (1966).
14. J. M. Levy-Leblond, Phys. Rev. A52, 1845 (1995).
15. T. Gora and F. Williams, Phys. Rev. 177, 1179 (1969).
16. G. Bastard, Phys. Rev. B24, 5693 (1981).
17. Q. G. Zhu and H. Kroemer, Phys. Rev. B27, 3519 (1983).
18. T. Li and K. J. Kuhn, Phys. Rev. B47, 12760 (1993).
19. F. S. A. Cavalcante, R. N. Costa Filho, J. Ribeiro Filho, C. A. S. De Almeida and V. N. Freire, Phys. Rev. B55, 1326 (1997).
20. R. De, R. Dutt and U. Sukhatme, J. Phys. A: Math. Gen. 25, L843 (1992); B. Roy and P. Roy, quant-ph/0106028.
21. R. De, R. Dutt and U. Sukhatme, J. Phys. A: Math. Gen. 25, L843 (1992); B. Roy and P. Roy, quant-ph/0106028.
22. O. Von Roos, Phys. Rev. B27, 7547 (1983).
23. F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251, 267 (1995).
24. S. Datta, Quantum Phenomena, Modular Series on Solid State Devices (Addison-Wesley, 1989), Vol. 8, Chaps. 1 and 6; S. Adachi, J. Appl. Phys. 58, R1 (1985); P. Lawaetz, Phys. Rev. B4, 3460 (1971).
25. S. Datta, Quantum Phenomena, Modular Series on Solid State Devices (Addison-Wesley, 1989), Vol. 8, Chaps. 1 and 6; S. Adachi, J. Appl. Phys. 58, R1 (1985); P. Lawaetz, Phys. Rev. B4, 3460 (1971).
26. S. Datta, Quantum Phenomena, Modular Series on Solid State Devices (Addison-Wesley, 1989), Vol. 8, Chaps. 1 and 6; S. Adachi, J. Appl. Phys. 58, R1 (1985); P. Lawaetz, Phys. Rev. B4, 3460 (1971).
27. S. B. Haley, Am. J. Phys. 65, 237 (1997); B. Y. Tong, Solid State Commun. 104, 679 (1997); B. Y. Tong and N. Kiruischeva, Phys. Lett. A29, 49 (1997).
28. S. B. Haley, Am. J. Phys. 65, 237 (1997); B. Y. Tong, Solid State Commun. 104, 679 (1997); B. Y. Tong and N. Kiruischeva, Phys. Lett. A29, 49 (1997).
29. S. B. Haley, Am. J. Phys. 65, 237 (1997); B. Y. Tong, Solid State Commun. 104, 679 (1997); B. Y. Tong and N. Kiruischeva, Phys. Lett. A29, 49 (1997).
30. G. Todorovic, V. Milanovic, Z. Ikonic and D. Indjin, Phys. Lett. A279, 268 (2001); S. Tomic, V. Milanovic and Z. Ikonic, IEEE J. Quant. Elect. 37, 1337 (2001); S. Tomic, V. Milanovic, M. Tadic and Z. Ikonic, Solid State Commun. 113, 221 (2000); S. Tomic, V. Milanovic and Z. Ikonic, Optics Commun. 143, 214 (1997).
31. G. Todorovic, V. Milanovic, Z. Ikonic and D. Indjin, Phys. Lett. A279, 268 (2001); S. Tomic, V. Milanovic and Z. Ikonic, IEEE J. Quant. Elect. 37, 1337 (2001); S. Tomic, V. Milanovic, M. Tadic and Z. Ikonic, Solid State Commun. 113, 221 (2000); S. Tomic, V. Milanovic and Z. Ikonic, Optics Commun. 143, 214 (1997).
32. G. Todorovic, V. Milanovic, Z. Ikonic and D. Indjin, Phys. Lett. A279, 268 (2001); S. Tomic, V. Milanovic and Z. Ikonic, IEEE J. Quant. Elect. 37, 1337 (2001); S. Tomic, V. Milanovic, M. Tadic and Z. Ikonic, Solid State Commun. 113, 221 (2000); S. Tomic, V. Milanovic and Z. Ikonic, Optics Commun. 143, 214 (1997).
33. G. Todorovic, V. Milanovic, Z. Ikonic and D. Indjin, Phys. Lett. A279, 268 (2001); S. Tomic, V. Milanovic and Z. Ikonic, IEEE J. Quant. Elect. 37, 1337 (2001); S. Tomic, V. Milanovic, M. Tadic and Z. Ikonic, Solid State Commun. 113, 221 (2000); S. Tomic, V. Milanovic and Z. Ikonic, Optics Commun. 143, 214 (1997).
34. S. Flügge, Practical Quantum Mechanics (Springer-Verlag, 1971).
35. G. Duggan, J. Vac. Sci. Tech. B3, 1224 (1985); H. Kroemer, Surf. Sci. 174, 299 (1986).
36. G. Duggan, J. Vac. Sci. Tech. B3, 1224 (1985); H. Kroemer, Surf. Sci. 174, 299 (1986).
37. A. Chomette, B. Deveaud, M. Baudet, P. Auvray and A. Regreny, J. Appl. Phys. 59, 3835 (1986).
38. A. R. Plastino, A. Puente, M. Casas, F. Garcias and A. Plastino, Rev. Mexicana Fis. 46, 78 (2000).