Solution of the Dirac equation with position-dependent mass in the Coulomb field

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 322, Issue 1-2, 2004, Pages 72-77

  Alhaidari, A D ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Coulomb potential; Dirac equation; Position dependent mass; Relativistic spectrum; Renormalization

Indexed keywords

CHARGED PARTICLES; ELECTRIC FIELDS; WAVE FUNCTIONS;

COULOMB POTENTIAL; DIRAC EQUATIONS; POSITION-DEPENDENT MASS; RELATIVISTIC SPECTRUM; RENORMALIZATION;

LINEAR EQUATIONS;

ARTICLE; COMPTON EFFECT; ELECTRICITY; ENERGY; MATHEMATICAL COMPUTING; MOLECULAR MODEL; RADIATION FIELD; THEORETICAL MODEL; ULTRAVIOLET RADIATION;

EID: 1142273321     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.01.006     Document Type: Article

References (31)

1. Bastard G. Wave Mechanics Applied to Semiconductor Heterostructure. 1988;Les Editions de Physique, Les Ulis.
2. Harrison P. Quantum Wells, Wires and Dots. 2000;Wiley, New York.
3. Serra L., Lipparini E. Europhys. Lett. 40:1997;667.
4. Barranco M., Pi M., Gatica S.M., Hernandez E.S., Navarro J. Phys. Rev. B. 56:1997;8997.
5. Arias de Saavedra F., Boronat J., Polls A., Fabrocini A. Phys. Rev. B. 50:1994;4248.
6. See, for example Gora T., Williams F. Phys. Rev. 177:1969;1179.
7. VonRoos O. Phys. Rev. B. 27:1983;7547.
8. VonRoos O., Mavromatis H. Phys. Rev. B. 31:1985;2294.
9. Morrow R.A. Phys. Rev. B. 35:1987;8074.
10. Morrow R.A. Phys. Rev. B. 36:1987;4836.
11. Trzeciakowski W. Phys. Rev. B. 38:1988;4322.
12. Galbraith I., Duggan G. Phys. Rev. B. 38:1988;10057.
13. Young K. Phys. Rev. B. 39:1989;13434.
14. Einevoll G.T., Hemmer P.C., Thomsen J. Phys. Rev. B. 42:1990;3485.
15. Einevoll G.T. Phys. Rev. B. 42:1990;3497.
16. Weisbuch C., Vinter B. Quantum Semiconductor Heterostructures. 1993;Academic Press, New York.
17. Dekar L., Chetouani L., Hammann T.F. J. Math. Phys. 39:1998;2551.
18. Dekar L., Chetouani L., Hammann T.F. Phys. Rev. A. 59:1999;107.
19. Plastino A.R., Rigo A., Casas M., Garcias F., Plastino A. Phys. Rev. A. 60:1999;4318.
20. Gönül Be., Gönül B.ü., Tutcu D., Özer O. Mod. Phys. Lett. A. 17:2002;2057.
21. Samani K., Loran F. quant-ph/0302191.
22. Milanović V., Iković Z. J. Phys. A. 32:1999;7001.
23. de Souza Dutra A., Almeida C.A.S. Phys. Lett. A. 275:2000;25.
24. Roy B., Roy P. J. Phys. A. 35:2002;3961.
25. Alhaidari A.D. Phys. Rev. A. 66:2002;042116.
26. Koç R., Koca M., Körcük E. J. Phys. A. 35:2002;L527.
27. Koç R., Koca M. J. Phys. A. 36:2003;8105.
28. Chetouani L., Dekar L., Hammann T.F. Phys. Rev. A. 52:1995;82.
29. Alhaidari A.D. Int. J. Theor. Phys. 42:2003;2999.
30. Cavalcante F.S.A., Costa Filho R.N., Ribeiro Filho J., de Almeida C.A.S., Freire V.N. Phys. Rev. B. 55:1997;1326.
31. Bjorken J.D., Drell S.D. Relativistic Quantum Mechanics. 1965;McGraw-Hill, New York.