1210.0361 (Oktay Aydoğdu et al.)

Scattering of a spinless particle by an asymmetric Hulth{é}n potential
within the effective mass formalism    [PDF]

Oktay Aydoğdu, Altug Arda, Ramazan Sever

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.

View original: http://arxiv.org/abs/1210.0361