TITLE:
Resolution in the Case of the Hydrogen Atom of an Improved Dirac Equation
AUTHORS:
Claude Daviau, Jacques Bertrand, Raymond Albert Ng
KEYWORDS:
Electromagnetism, Clifford Algebra, Dirac Equation, Lagrangian Formalism, Hydrogen Atom
JOURNAL NAME:
Journal of Modern Physics,
Vol.11 No.7,
July
20,
2020
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.