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Scattering of a spinless particle by an asymmetric Hulthen potential within the effective mass formalism
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Date
2012-10-01
Author
AYDOĞDU, OKTAY
Arda, Altug
Sever, Ramazan
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This work is licensed under a
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Effective mass Klein-Gordon equation for the asymmetric Hulthen 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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4758926]
Subject Keywords
Expansion
,
Resonances
,
Bound-states
,
Dirac-equation
,
Klein-gordon equation
,
Low momentum scattering
,
One-dimensional scattering
,
Position-dependent mass
URI
https://hdl.handle.net/11511/62716
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.4758926
Collections
Department of Physics, Article