Abstract
The Klein–Gordon equation in the presence of generalized Coulomb potential is solved and the quasi-exact solutions are obtained via the sl(2) algebraization. The condition of quasi-exact solvability is derived by matching the condition of invariant subspace on the problem. The Lie-algebraic approach of quasi-exact solvability is applied to the problem and the (n+1)×(n+1) matrix for finite values of n is obtained in quite a detailed manner and thereby the finite part of the spectrum is obtained.
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