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Resolution in the Case of the Hydrogen Atom of an Improved Dirac Equation
Le Moulin de la Lande, Pouillé-les-Côteaux, France
15 Avenue Danielle Casanova, Saint-Gratien, France
De La Salle University (DLSU), Manila, Philippines
- 1 Le Moulin de la Lande, Pouillé-les-Côteaux, France
- 2 15 Avenue Danielle Casanova, Saint-Gratien, France
- 3 De La Salle University (DLSU), Manila, Philippines
Journal of Modern Physics·Volume 11 (2020)·Pages 1075–1090·Published 30 June 2020·DOI10.4236/jmp.2020.117068
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Abstract
The improved Dirac equation is completely solved in the case of the hydrogen atom. A method of separation of variables in spherical coordinates is used. The angular functions are the same as with the linear Dirac equation: they account for the spin 1/2 of the electron. The existence of a probability density governs the radial equations. This gives all the quantum numbers required by spectroscopy, the true number of energy levels and the true levels obtained by Sommerfeld’s formula.
KeywordsElectromagnetismClifford AlgebraDirac EquationLagrangian FormalismHydrogen Atom
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