Solution of the Dirac-Coulomb equation using the Rayleigh-Ritz method. Results for He-like atoms
Quantum Physics
2023-10-16 v1 Atomic Physics
Abstract
The Dirac-Coulomb equation for helium-like ions is solved using the iterative self-consistent field method, with Slater-type spinor orbitals as the basis. These orbitals inherently satisfy the kinetic-balance condition due to their coupling for both large- and small-components. The Coulomb interaction is treated without constraints. Computations are carried out for total energies of atoms with nuclear charges up to using both minimal and extended basis sets. Variationally optimal values for orbital parameters are determined through the Rayleigh-Ritz variational principle. No manifestations related to the Brown-Ravenhall disease are found.
Keywords
Cite
@article{arxiv.2310.09111,
title = {Solution of the Dirac-Coulomb equation using the Rayleigh-Ritz method. Results for He-like atoms},
author = {A. Bağcı and P. E. Hoggan},
journal= {arXiv preprint arXiv:2310.09111},
year = {2023}
}