Correction to Solution of Dirac Equation

TL;DR

This paper critiques the standard Dirac equation solutions for hydrogen, proposing modifications that suggest the Dirac equation better describes neutron structure and highlights discrepancies with experimental atomic spectra.

Contribution

It introduces a modified Dirac equation with an adjusted angular momentum constant, providing a more consistent solution involving neutron properties and challenging traditional interpretations.

Findings

Standard Dirac solutions conceal mathematical contradictions.

Modified Dirac equation aligns with neutron structure.

Discrepancies remain between theoretical energy levels and experimental spectra.

Abstract

Using the China unitary principle to test the Dirac theoryfor the hydrogen atomic spectrum shows that the standard Dirac function withthe Dirac energy levels is only one the formal solutions of theDirac-Coulomb equation, which conceals some pivotal mathematicalcontradictions. The theorem of existence of solution of the Dirac equationrequires an important modification to the Dirac angular momentum constantthat was defined by Dirac's algebra. It derives the modified radial Diracequation which has the consistency solution involving the quantum neutronradius and the neutron binding energy. The inevitable solution for otheratomic energy states is only equivalent to the Bohr solution. It concludesthat the Dirac equation is more suitable to describe the structure ofneutron. How to treat the difference between the unitary energy levels andthe result of the experimental observation of the atomic spectrums for thehydrogen atom needs to be solved urgently.