Integrals for relativistic nonadiabatic energies of H$_2$ in exponential basis
Chemical Physics
2024-01-24 v1
Abstract
Accurate predictions for hydrogen molecular levels require the treatment of electrons and nuclei on an equal footing. While nonrelativistic theory has been effectively formulated this way, calculation of relativistic and quantum electrodynamic effects using an exponential basis with explicit correlations that ensure well-controlled numerical precision is much more challenging. In this work, we derive a complete set of integrals for the relativistic correction and demonstrate their application to several of the lowest rovibrational levels. Together with similar advancements for quantum electrodynamic corrections, this will improve the accuracy beyond and hopefully explain discrepancies with recent experimental values.
Keywords
Cite
@article{arxiv.2401.12795,
title = {Integrals for relativistic nonadiabatic energies of H$_2$ in exponential basis},
author = {Krzysztof Pachucki and Jacek Komasa},
journal= {arXiv preprint arXiv:2401.12795},
year = {2024}
}