English

Additive atomic approximation for relativistic effects: a two-component Hamiltonian for molecular electronic structure calculations

Chemical Physics 2019-02-13 v1

Abstract

An approximate relativistic two-component Hamiltonian for use in molecular electronic structure calculations is derived in the form of a sum of fixed atom-centered kinetic and spin-orbit operators added to the non-relativistic Hamiltonian. Starting from the well-known zeroth-order regular approximation, further steps are taken to get rid of its nonlinearity in the potential, ending up with a simple formulation with easily computable integrals that can seamlessly work with any traditional electronic structure method. Molecular tests show a good accuracy of this approximation.

Keywords

Cite

@article{arxiv.1811.08123,
  title  = {Additive atomic approximation for relativistic effects: a two-component Hamiltonian for molecular electronic structure calculations},
  author = {Dimitri N. Laikov},
  journal= {arXiv preprint arXiv:1811.08123},
  year   = {2019}
}

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To be published in a Journal

R2 v1 2026-06-23T05:21:49.605Z