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

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

2008-02-07

arxiv.org/abs/0802.1022v1

Physics

Mathematical Physics

13 pages

Scientific paper

10.2478/s11534-008-0022-4

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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