Correction to Solution of Dirac Equation

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.

9pages, 1figure, LaTeX

References in corpus (10)

• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Kepler problem in Dirac theory for a particle with position-dependent mass
• Final-state interactions and superscaling in the semi-relativistic approach to quasielastic electron and neutrino scattering
• Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
• Relativistic corrections to isotope shift in light ions
• Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials
• Solution of the Dirac equation by separation of variables in spherical coordinates for a class of three-parameter non-central electromagnetic potential
• Relativistic scattering with spatially-dependent effective mass in the Dirac equation
• Low energy electronic states in spheroidal fullerenes
• Some extensions of the Einstein-Dirac equation