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Advances in High Energy Physics
Volume 2014 (2014), Article ID 973847, 10 pages
http://dx.doi.org/10.1155/2014/973847
Research Article

Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential

Department of Physics, Mersin University, 33343 Mersin, Turkey

Received 14 April 2014; Accepted 19 June 2014; Published 10 July 2014

Academic Editor: Hong-Jian He

Copyright © 2014 Soner Alpdoğan and Ali Havare. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.