Resolution in the Case of the Hydrogen Atom of an Improved Dirac Equation

Authors: Claude Daviau, Jacques Bertrand, Raymond Albert Ng

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.

Source:

Journal: Journal of Modern Physics
DOI: 10.4236/jmp.2020.117068

(PDF)
Paper Id: 101589 (metadata)

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