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arXiv · 0802.1022

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

Nasser Saad·Richard L. Hall·Hakan Ciftci
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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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Nasser Saad, Richard L. Hall, Hakan Ciftci. 2008-02-07. The Klein-Gordon equation with the Kratzer potential in d dimensions. https://doi.org/10.2478/s11534-008-0022-4

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