https://doi.org/10.1140/epjp/i2016-16387-8
Regular Article
Scattering states of Dirac particle equation with position-dependent mass under the cusp potential
1
High Energy Physics and Astrophysics Laboratory, Department of Physics, FSSM, Cadi Ayyad University, P.O.B. 2390, Marrakesh, Morocco
2
Physics Department, Shahrood University of technology, Shahrood, Iran
3
Department of Basic Sciences, Islamic Azad University North Tehran Branch, Tehran, Iran
* e-mail: soroushzrg@gmail.com
Received:
30
May
2016
Accepted:
10
October
2016
Published online:
7
November
2016
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 the position-dependent mass on the reflection and transmission coefficients of the system is duly investigated.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
