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

2005; American Physical Society; Volume: 71; Issue: 5 Linguagem: Inglês

10.1103/physreva.71.052101

1538-4446

Clara Rojas, Vı́ctor M. Villalba,

Cold Atom Physics and Bose-Einstein Condensates

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.