Bound states of the Dirac equation with position-dependent mass for the Eckart potential

doi:10.1088/1674-1056/22/1/010301

Abstract Studying with the asymptotic iteration method, we present approximate solutions of the Dirac equation for the Eckart potential in the case of position dependent mass. The centrifugal term is approximated by an exponential form, and the relativistic energy spectrum and the normalized eigenfunctions are obtanied explicitly.

Keywords: Dirac equation position-dependent mass Eckart potential asymptotic iteration method

Received: 15 March 2012
Revised: 11 April 2012
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)

Fund: Project supported by Erciyes University-FBA-09-999.

Corresponding Authors: Yasuk F.
E-mail: yasuk@erciyes.edu.tr

Cite this article:

Bahar M. K., Yasuk F. Bound states of the Dirac equation with position-dependent mass for the Eckart potential 2013 Chin. Phys. B 22 010301

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