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arXiv · 1210.0361

Scattering of a spinless particle by an asymmetric Hulth{\'e}n potential within the effective mass formalism

Oktay Aydoğdu·Altug Arda·Ramazan Sever
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Abstract

Effective mass Klein-Gordon equation for the asymmetric Hulth{\'e}n potential is solved in terms of hypergeometric functions. Results are obtained for the scattering and bound states with the position dependent mass and constant mass, as a special case. In both cases, we derive a condition for the existence of transmission resonance (T=1). We also study how the transmission resonance depends on the particle energy and the shape of the external potential.

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Oktay Aydoğdu, Altug Arda, Ramazan Sever. 2012-10-01. Scattering of a spinless particle by an asymmetric Hulth{\'e}n potential within the effective mass formalism. https://doi.org/10.1063/1.4758926

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