Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2010
- DOI:
- 10.48550/arXiv.1006.3971
- arXiv:
- arXiv:1006.3971
- Bibcode:
- 2010arXiv1006.3971D
- Keywords:
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- Quantum Physics
- E-Print:
- 6 pages