Accurate iterative and perturbative solutions of the yukawa potential

International Journal of Modern Physics E

Volumn 15, Issue 6, 2006, Pages 1253-1262

  Karakoc, M ^a   Boztosun, I ^a  

^a ERCIYES UNIVERSITY   (Turkey)

Author keywords

Analytical solution; Asymptotic Iteration Method (AIM); Bound states; Energy eigenvalues; Perturbation theory; Yukawa, potential

Indexed keywords

EID: 33748093601     PISSN: 02183013     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218301306004806     Document Type: Article

References (34)

1. W. Greiner, Relativistic Quantum Mechanics Wave Equations, 3rd edn. (Springer-Verlag, Berlin, Heidelberg, New York, 2000).
2. M. A. Preston and R. K. Bhaduri, Structure of the Nucleus (Addison-Wesley, Reading, 1975).
3. L. I. Schiff, Quantum Mechanics, 3rd edn. (McGraw-Hill, Singapore, 1968), p. 325.
4. F. J. Rogers, H. C. Jr. Graboske and D. J. Harwood, Phys. Rev. A 1 (1970) 1577.
5. L. Hulten and K. V. Laurikaineni, Rev. Mod. Phys. 23 (1951) 1.
6. G. Moreno and A. Zepeda, J. Phys. B: At. Mol. Phys. 17 (1984) 21.
7. M. Grant and C. S. Lai, Phys. Rev. A 20 (1979) 718.
8. V. L. Bonch-Bruevich and V. B. Glasko, Sov. Phys. Dokl. 4 (1959) 147.
9. R. Dutt, A. Ray and P. P. Ray, Phys. Lett. A 83 (1981) 65;
10. C. S. Lam and Y. P. Varshni, Phys. Rev. A 4 (1971) 1875;
11. D. Singh and Y. P. Varshni, Phys. Rev. A 28 (1983) 2606.
12. H. de Meyer et al., J. Phys. A 18 (1985) 849.
13. C. S. Lai, Phys. Rev. A 26 (1982) 2245.
14. R. Dutt et al., J. Phys. A 18 (1985) 1379.
15. C. S. Lam and Y. P. Varshni, Phys. Rev. A 6 (1972) 1391.
16. C. S. Lai, Phys. Rev. A 23 (1981) 455.
17. J. D. Hirschfelder, J. Chem. Phys. 33 (1960) 1462.
18. J. Killingbeck, Phys. Lett. A 65 (1978) 87.
19. B. Gonul, K. Koksal and E. Bakir, Phys. Scripta 73 (2006) 279.
20. B. Chakrabarti and T. K. Das, Phys Lett. A 285 (2001) 11.
21. A. Stahlhofen, II Nuovo Cimento B 104 (1989) 447.
22. H. Ciftci, R. L. Hall and N. Saad, J. Phys. A: Math. Gen. 36 (2003) 11807.
23. H. Ciftci, R. L. Hall and N. Saad, J. Phys. A: Math. Gen. 38 (2005) 1147.
24. I. Boztosun, M. Karakoc, F. Yasuk and A. Durmus, J. of Math. Phys. 47 (2006) 062301.
25. O. Bayrak and I. Boztosun, J. Phys. A: Math. Gen. 39 (2006) 6955.
26. A. Chatterjee, J. Phys. A: Math. Gen. 19 (1986) 3707.
27. C. Lee, Phys. Lett. A 267 (2000) 101.
28. M. Alberg and L. Wilets, Phys. Lett. A 286 (2001) 7.
29. M. Zonjil, J. Math. Chem. 26 (1999) 157.
30. F. M. Fernandez, J. Phys. A 37 (2004) 6173.
31. T. Barakat, J. Phys. A: Math. Gen. 39 (2006) 823.
32. O. Bayrak and I. Boztosun, J. Phys. A: Math. Gen. 39 (2006) 6955.
33. O. Bayrak and I. Boztosun, Int. J. Quantum Chem. (2006), in press.
34. H. Ciftci, R. L. Hall and N. Saad, Phys. Lett. A 340 (2005) 388.