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Accurate Dirac-Coulomb energies for the ground states of helium-like atoms

1990; IOP Publishing; Volume: 23; Issue: 2 Linguagem: Inglês

10.1088/0953-4075/23/2/005

1361-6455

F. A. Parpia, I. P. Grant,

Muon and positron interactions and applications

The authors present accurate (relative errors approximately=10-7) eigenvalues for the 1s2 1S0 eigenstates of the Dirac-Coulomb Hamiltonian for helium-like atoms. A novel non-perturbative method, based upon a sequence of multiconfiguration Dirac-Fock calculations together with an extrapolation procedure, is used to arrive at the numbers given. In conjunction with perturbation theory, the same technique may be extended to calculate higher-order contributions to the energies of two-electron systems to high precision. As an example, they have obtained estimates of the energies of the interelectronic transverse electromagnetic interaction.