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Bound state solutions of the Klein - Gordon equation for deformed Hulthen potential with position dependent mass

Authors:

Akaninyene D. Antia,

University of Uyo-Nigeria, NG
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Akpan Ndem Ikot ,

University of Uyo-Nigeria, NG
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Eno E. Ituen,

University of Uyo-Nigeria, NG
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Ita O. Akpan

University of Calabar-Nigeria
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Abstract

We solve approximately the bound state solutions of the Klein - Gordon equation for deformed Hulthen potential with unequal scalar and vector potential for arbitrary l-state. We obtain explicitly the energy eigenvalues and the corresponding wave function expressed in terms of the Jacobi polynomials. We also discuss the energy eigenvalues of our result for three cases with equal and unequal scalar and vector potentials.

Keywords: Klein-Gordon equation; Hulthen potential; bound state

DOI: http://dx.doi.org/10.4038/sljp.v13i1.3780

Sri Lankan Journal of Physics, Vol. 13(1) (2012) 27-40

How to Cite: Antia, A.D. et al., (2012). Bound state solutions of the Klein - Gordon equation for deformed Hulthen potential with position dependent mass. Sri Lankan Journal of Physics. 13(1), pp.27–40. DOI: http://doi.org/10.4038/sljp.v13i1.3780
Published on 19 Jul 2012.
Peer Reviewed

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