Eur. Phys. J. Plus (2014) 129: 216
https://doi.org/10.1140/epjp/i2014-14216-x

Regular Article

Scattering and bound states of fermions in the modified Hulthén potential

¹ UNESP, Campus de Guaratinguetá Department de Física e Química, 12516-410, Guaratinguetá SP, Brazil
² Physics Department, Shahrood University, Shahrood, Iran

^* e-mail: a_armat@shahroodut.ac.ir

Received: 4 May 2014
Revised: 14 August 2014
Accepted: 21 August 2014
Published online: 10 October 2014

Abstract

In the present work the scattering of a fermion in the modified Hulthén potential is considered with a general vector and scalar and we solved the Dirac equation in the one-dimensional space. The transmission and reflection coefficients are reported. The bound-state solution is also given. The study shows the asymptotic behavior of the wave function in bound-state and scattering states solutions.