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

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

2010-06-21

arxiv.org/abs/1006.3971v1

Physics

Quantum Physics

6 pages

Scientific paper

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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