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arXiv · 1006.3971

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

Robert J. Ducharme
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Abstract

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

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Robert J. Ducharme. 2010-06-21. Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin. https://arxiv.org/abs/1006.3971

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