Scattering states of Dirac particle equation with position dependent mass under the cusp potential

Abstract

We solved the one-dimensional position-dependent mass Dirac equation in the presence of the cusp potential and reported the solutions in terms of the Whittaker functions. We have derived the reflection and transmission coefficients by making use of the matching conditions on the wave functions. The effect of position dependent mass on the reflection and transmission coefficients of the system is duly investigated.

14 pages, 4 figures, accepted in Eur. Phys. J. Plus. arXiv admin note: text overlap with arXiv:1204.6562 by other authors