Scattering of a spinless particle by an asymmetric Hulthen potential within the effective mass formalism

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2012-10-01

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AYDOĞDU, OKTAY
Arda, Altug
Sever, Ramazan

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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

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Scattering and bound state solutions of the asymmetric Hulthen potential Arda, Altug; AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01) The one-dimensional time-independent Schrodinger equation is solved for the asymmetric Hulthen potential. The reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in the non-relativistic region.
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Citation Formats

O. AYDOĞDU, A. Arda, and R. Sever, “Scattering of a spinless particle by an asymmetric Hulthen potential within the effective mass formalism,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62716.