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Journal of Physics & Astronomy

Relativistic spinless particles with generalized exponential potential

A. N. Ikot, I. B. Okon, Imeh Edet Essien

Published Jan 1, 2013• 0 citations
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Abstract

In this paper, we present the solutions of the Klein-Gordon equation for a generalized exponential potential field by applying the Pekeris approximation to the centrifugal term. We used the parametric generalization of the Nikiforov-Uvarov method to obtain the energy eigenvalues and the corresponding wave function in a closed form. Special cases of the potential are also discussed.

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In this paper, we present the solutions of the Klein-Gordon equation for a generalized exponential potential field by applying the Pekeris approximation to the centrifugal term. We used the parametric generalization of the Nikiforov-Uvarov method to obtain the energy eigenvalues and the corresponding wave function in a closed form. Special cases of the potential are also discussed.
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Approximate κ\kappaκ -state solutions of the Dirac equation in spatially dependent mass for the Eckart potential including the Yukawa tensor interaction
We investigate the analytical approximation to arbitrary -state solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential including the Yukawa tensor interaction in the framework of a parametric Nikiforov–Uvarov method. By taking a proper approximation to deal with the centrifugal term, the analytical relativistic energy eigenvalues and the corresponding normalized two-spinor components of the wave function are obtained in closed form. The relativistic and non-relativistic bound state solutions for some special cases, such as the Hulthén potential and the generalized Morse potential, are easily obtained from our general solution.