The Relativistic Transmission and Reflection Coefficients for Woods-Saxon Potential

Abstract

The Relativistic Transmission and Reflection Coefficients for Woods–Saxon Potential B.H. Yazarloo∗ and H. Mehraban Physics Department, Semnan University, P.O. Box 35195-363, Semnan, Iran (Received August 27, 2015; in final form May 12, 2016) The relativistic problem of spin-1/2 particles subject to the Woods–Saxon potential is investigated by using the functional analysis method. We obtain scattering and bound state solutions of the one-dimensional Dirac equation with the Woods–Saxon potential in terms of the Jacobi polynomials. We also calculated the transmission and reflection coefficients by using behavior of the wave functions at infinity.