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
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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.

DOI: 10.12693/APhysPolA.129.1089
PACS numbers: 03.65.Nk, 03.65.Ge, 03.65.Pm