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The term describing the coupling between total angular momentum andenergy-momentum in the hydrogen atom is isolated from the radial Dirac equationand used to replace the corresponding orbital angular momentum coupling term inthe radial K-G equation. The resulting spin-corrected K-G equation is a secondorder differential equation that contains no matrices. It is solved here togenerate the same energy eigenvalues for the hydrogen atom as the Diracequation.

Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin