Nonrelativistic Green's function for systems with position-dependent mass

International Journal of Theoretical Physics

Volumn 42, Issue 12, 2003, Pages 2999-3009

  Alhaidari, A D ^a  

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

Author keywords

Effective mass; Green's function; Oscillator class; Point canonical transformation; Position dependent mass

Indexed keywords

EID: 1142278968     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000006027.49538.16     Document Type: Article

References (38)

1. Alhaidari, A. D. (2002). Physical Review A 66, 042116.
2. Barranco, M., Pi, M., Gatica, S. M., Hernandez, E. S., and Navarro, J. (1997). Physical Review B 56, 8997.
3. Bastard, G. (1988). Wave Mechanics Applied to Semiconductor Heterostructure, Les Editions de Physique, Les Ulis, France.
4. Bateman, H. and Erdélyi, A. (1953). Higher TranscendentaI Functions, McGraw-Hill, New York.
5. Bhattachajie, A. and Sudarshan, E. C. G. (1962). Nuovo Cimento 25, 864.
6. Buchholz, H. (1969). The Confluent Hypergeometric Function, Springer-Verlag, New York.
7. Chetouani, L., Dekar, L., and Hammann, T. F. (1995). Physical Review A 52, 82.
8. Dekar, L., Chetouani, L., and Hammann, T. F. (1998). Journal of Mathematical Physics 39, 2551.
9. Dekar, L., Chetouani, L., and Hammann, T. F. (1999). Physical Review A 59, 107.
10. de Saavedra, F. A., Boronat, J., Polls, A., and Fabrocini, A. (1994). Physical Review B: Condensed Matter 50, 4248.
11. de Souza Dutra, A. and Almeida, C. A. S. (2000). Physics Letters A 275, 25.
12. Einevoll, G. T. (1990). Physical Review B 42, 3497.
13. Einevoll, G. T., Hemmer, P. C., and Thomsen, J. (1990). Physical Review B 42, 3485.
14. Galbraith, I. and Duggan, G. (1988). Physical Review B: Condensed Matter 38, 10057.
15. Goldstein, H. G. (1986). Classical Mechanics, Addison-Wesley, Reading, MA.
16. Gönül, B., Gönül, B., Tutcu D., and Özer, O. (2002). Mod. Phys. Lett. A 17, 2057.
17. Gora, T. and Williams, F. (1969). Physical Review 177, 1179.
18. Gradshtein, I. S. and Ryzhik, I. M. (1980). Table of Integrals, Series and Products, Academic Press, New York.
19. Harrison, P. (2000). Quantum Wells, Wires and Dots, Wiley, New York.
20. Junker, G. (1990). Journal of Physics A: Mathematical and General 23, L881.
21. Koç, R., Koca, M., and Körcük, E. (2002). Journal of Physics A: Mathematical and General 35, L527.
22. Magnus, W., Oberhettinger, F., and Soni, R. P. (1966). Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd edn., Springer-Verlag, New York.
23. Manning, M. F. (1935). Physical Review 48, 161.
24. Milanović, V. and Iković, Z. (1999). Journal of Physics A: Mathematical and General 32, 7001.
25. Montemayor, R. (1987). Physical Review A 36, 1562.
26. Morrow, R. A. (1987a). Physical Review B: Condensed Matter 35, 8074.
27. Morrow, R. A. (1987b). Physical Review B: Condensed Matter 36, 4836.
28. Pak, N. K. and Sökmen, I. (1984). Physics Letters A 103, 298.
29. Plastino, A. R, Rigo, A., Casas, M., Garcias, F., and Plastino, A. (1999). Physical Review A 60, 4318.
30. Roy, B. and Roy, P. (2002). Journal of Physics A: Mathematical and General 35, 3961.
31. Šamaj, L., Percus, J., and Kalinay, P. (2002). Universal Behavior of Quantum Green's Functions. e-Print arXiv: math-ph/02 10004.
32. Samani, K. and Loran, F. (2003). Shape Invariant Potentials for Effective Mass Schrödinger Equation, e-Print arXiv: quant-ph/0302191.
33. Serra, L. and Lipparini, E. (1997). Europhys. Lett. 40, 667.
34. Trzeciakowski, W. (1988). Physical Review B: Condensed Matter 38, 4322.
35. Von Roos, O. (1983). Physical Review B: Condensed Matter 27, 7547.
36. Von Roos, O. and Mavromatis, H. (1985). Physical Review B: Condensed Matter 31, 2294.
37. Weisbuch, C. and Vinter, B. (1993). Quantum Semiconductor Heterostructures, Academic Press, New York.
38. Young, K. (1989). Physical Review B: Condensed Matter 39, 13434.