English

Light one-electron quasi-molecular ions within the finite-basis-set method for the two-center Dirac equation

Atomic Physics 2025-09-11 v1

Abstract

The electronic spectra of light one-electron quasi-molecular compounds H-H+^+, He+^+-He2+^2+ and He+^+-H+^+ are analyzed. To this end, the two-center Dirac equation is solved by the dual-kinetically balanced finite-basis-set method for axially symmetric systems termed as A-DKB. This method allows a complete relativistic consideration of these systems at fixed internuclear distances. A comparison of the obtained results with the nonrelativistic and relativistic calculations presented in the literature is performed. The advantages and disadvantages of the approach are discussed in details.

Keywords

Cite

@article{arxiv.2310.04057,
  title  = {Light one-electron quasi-molecular ions within the finite-basis-set method for the two-center Dirac equation},
  author = {D. Solovyev and A. Anikin and A. Danilov and D. Glazov and A. Kotov},
  journal= {arXiv preprint arXiv:2310.04057},
  year   = {2025}
}