Mapping of the position-dependent mass Schrödinger equation under point canonical transformation

Chinese Physics

Volumn 14, Issue 3, 2005, Pages 460-462

  Chen, Gang ^a,b  

^a SHAOXING COLLEGE OF ARTS AND SCIENCES   (China)

^b SHAOXING UNIVERSITY   (China)

Author keywords

Coulomb potential; Point canonical transformation; Position dependent mass

Indexed keywords

FUNCTION EVALUATION; GEOMETRY; MAPPING; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; WAVE EQUATIONS;

COULOMB POTENTIAL; HYPERGEOMETRIC FUNCTIONS; POINT CANONICAL TRANSFORMATIONS; POSITION-DEPENDENT MASS;

NONLINEAR EQUATIONS;

EID: 24144459540     PISSN: 10091963     EISSN: None     Source Type: Journal    
DOI: 10.1088/1009-1963/14/3/004     Document Type: Article

References (26)

1. Dekar L, Chetouani L and Hammann T F 1998 J. Math. Phys. 39 2551
2. Dekar L, Chetouani L and Hammann T F 1998 Phys. Rev. A 59 107
3. Gönül B et al 2002 Mod. Phys. Lett. A 17 2057
4. Gönül B et al 2002 Mod. Phys. Lett. A 17 2453
5. Alhaidari A D 2002 Phys. Rev. A 66 042116
6. Alhaidari A D 2003 Int. J. Theor. Phys. 42 12
7. Alhaidari A D 2004 Phys. Lett. A 322 72
8. Yu J, Dong S H and Sun G H 2004 Phys. Lett. A 322 290
9. Yu J and Dong S H 2004 Phys. Lett. A 325 194
10. Plastino A R 1999 Phys. Rev. A 60 4318
11. Samani K and Loran F 2003 quant-ph/0302191
12. Milanović V and Iković Z 1999 J. Phys. A 32 7001
13. de Souza Dutra A and Almeida C A S 2000 Phys. Lett. A 275 25
14. Roy B and Roy P 2002 J. Phys. A 35 3961
15. Koc R, Koca M and Körcük E 2002 J. Phys. A 35 L527
16. Koc R and Koca M 2003 J. Phys. A 36 8105
17. Quesne C and Tkachuk V M 2004 J. Phys. A 37 4267
18. Chen G 2004 Phys. Lett. A 329 22
19. Bastard G 1988 Wave Mechanics Applied to Semiconductor Heterostructure (Les Ulis: Les Editions de Physique)
20. Harrison P 2000 Quantum Wells, Wires and Dots (New York: Wiley)
21. Serra L and Lipparin E 1997 Europhys. Lett. 40 667
22. Barranco M et al 1997 Phys. Rev. B 56 8997
23. Arias F et al 1997 Phys. Rev. B 50 4248
24. Weisbuch C and Vinter B 1993 Quantum Semiconductor Heterostructure (New York: Academic) and references therein
25. De R, Dutt R and Sukhatme U 1992 J. Phys. A 25 L843
26. Zeng J Y 1997 Quantum Mechanics Vol II, 2nd (Beijing: Science Press) (in Chinese)