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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Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method Egrifes, H; Sever, Ramazan (Elsevier BV, 2005-09-05) The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions.
Bound states of the Klein-Gordon equation for Woods-Saxon potential with position dependent mass Arda, Altug; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-05-01) The effective mass Klein-Gordon equation in one dimension for the Woods-Saxon potential is solved by using the Nikiforov-Uvarov method. Energy eigenvalues and the corresponding eigenfunctions are computed. Results are also given for the constant mass case.

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.