Abstract
The ground state of the two electrons in the Coulomb field of the highly charged ions (Z ≥ 32) is analyzed within the context of Relativistic Schrodinger Theory (RST). Exploiting here the isotropic geometry of the ground state, the corresponding RST-Maxwell-Dirac eigenvalue system can be written down as a coupled system of ordinary differential equations for two radial ansatz functions R ′ (r). The solutions of this coupled system are determined by numerical integration which admits to calculate the relativistic ground-state energy as the value of the RST energy functional upon these solutions. It is found that the RST predictions are of similar precision (relative to the experimental data) as the other theoretical approaches available in the literature. However it is also demonstrated that further progress can be made only by extending the RST formalism to take into account the self-energy effects.
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