Research PapersNo Access

THE ASYMPTOTIC ITERATION METHOD FOR DIRAC AND KLEIN–GORDON EQUATIONS WITH A LINEAR SCALAR POTENTIAL

T. BARAKAT

Physics Department, King Saud University, Riyadh 11451, Saudi Arabia

https://doi.org/10.1142/S0217751X06030916Cited by:34 (Source: Crossref)

Abstract

The asymptotic iteration method is used for Dirac and Klein–Gordon equations with a linear scalar potential to obtain the relativistic eigenenergies. A parameter, ς = 0, 1, is introduced in such a way that one can obtain Klein–Gordon bound states from Dirac bound states. It is shown that this method asymptotically gives accurate results for both Dirac and Klein–Gordon equations.

Keywords:

PACS: 03.65 Ge

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

H. Ciftci, R. L. Hall and N. Saad, J. Phys. A 36, 11807 (2003). Crossref, Google Scholar
H. Ciftci, R. L. Hall and N. Saad, J. Phys. A 38, 1147 (2005). Crossref, ADS, Google Scholar
F. M. Fernández, J. Phys. A 37, 6173 (2004). Crossref, ADS, Google Scholar
T. Barakat, Phys. Lett. A 344, 411 (2005). Crossref, Web of Science, ADS, Google Scholar
H. Ciftci, R. L. Hall and N. Saad, Phys. Rev. A 72, 1 (2005). Web of Science, Google Scholar
T. Barakat, K. Abodayeh and A. Mukheimer, J. Phys. A 38, 1299 (2005). Crossref, ADS, Google Scholar
T. Barakatet al., Can. J. Phys. 84, 121 (2006). Crossref, Web of Science, ADS, Google Scholar
H. Ciftci, R. L. Hall and N. Saad, Phys. Lett. A 340, 388 (2005). Crossref, Web of Science, ADS, Google Scholar
Y. Jiang, J. Phys. A 38, 1157 (2005). Crossref, ADS, Google Scholar
J. Gunion and L. Li, Phys. Rev. D 12, 3583 (1975). Crossref, Web of Science, ADS, Google Scholar
O. Mustafa and T. Barakat, Commun. Theor. Phys. 29, 587 (1998). Crossref, Web of Science, Google Scholar