Scattering of a Klein-Gordon particle by a Woods-Saxon potential

Abstract

We solve the Klein-Gordon equation in the presence of a spatially one-dimensional Woods-Saxon potential. The scattering solutions are obtained in terms of hypergeometric functions and the condition for the existence of transmission resonances is derived. It is shown how the zero-reflection condition depends on the shape of the potential.

10 pages, Revtex. To appear in Phys. Rev. A

References in corpus (4)

• Energy spectrum of the relativistic Dirac-Morse problem
• The Woods-Saxon Potential in the Dirac Equation
• Supercriticality and Transmission Resonances in the Dirac equation
• Solution of the relativistic Dirac-Morse problem

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