Scattering of a spinless particle by an asymmetric Hulth{é}n potential within the effective mass formalism
arXiv:1210.0361 · doi:10.1063/1.4758926
Abstract
Effective mass Klein-Gordon equation for the asymmetric Hulth{é}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.
22 pages, 9 figures