Scattering of a spinless particle by an asymmetric Hulth{\'e}n potential within the effective mass formalism
Mathematical Physics
2015-06-11 v1 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1210.0361,
title = {Scattering of a spinless particle by an asymmetric Hulth{\'e}n potential within the effective mass formalism},
author = {Oktay Aydoğdu and Altug Arda and Ramazan Sever},
journal= {arXiv preprint arXiv:1210.0361},
year = {2015}
}
Comments
22 pages, 9 figures