Scattering of Woods-Saxon Potential in Schrodinger Equation
Altug Arda, Oktay Aydogdu, Ramazan Sever
TL;DR
This paper derives scattering solutions for the one-dimensional Schrödinger equation with Woods-Saxon potential using position-dependent mass formalism, calculating wave functions, transmission, and reflection coefficients with Heun's functions, including the constant mass case.
Contribution
It introduces a novel approach to solving scattering problems with Woods-Saxon potential using Heun's functions within the position-dependent mass framework.
Findings
Wave functions expressed via Heun's functions.
Transmission and reflection coefficients calculated.
Results extended to constant mass case.
Abstract
The scattering solutions of the one-dimensional Schrodinger equation for the Woods-Saxon potential are obtained within the position-dependent mass formalism. The wave functions, transmission and reflection coefficients are calculated in terms of Heun's function. These results are also studied for the constant mass case in detail.
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