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In this paper the stationary Klein-Gordon equation is considered for theCoulomb potential in non-commutative space. The energy shift due tononcommutativeity is obtained via the perturbation theory. Furthermore, we showthat the degeneracy of the initial spectral line is broken in transition fromcommutative space to non-commutative space.

The Klein-Gordon Equation for the Coulomb Potential in Non-commutative Space