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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 17, 2008

The Klein-Gordon equation with the Kratzer potential in d dimensions

  • Nasser Saad EMAIL logo , Richard Hall and Hakan Ciftci
From the journal Open Physics

Abstract

We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.

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Published Online: 2008-7-17
Published in Print: 2008-9-1

© 2008 Versita Warsaw

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