English

On the inclusion of cusp effects in expectation values with explicitly correlated Gaussians

Chemical Physics 2021-09-01 v3 Quantum Physics

Abstract

This paper elaborates the integral transformation technique of [K. Pachucki, W. Cencek, and J. Komasa, J. Chem. Phys. 122, 184101 (2005)] and uses it for the case of the non-relativistic kinetic and Coulomb potential energy operators, as well as for the relativistic mass-velocity and Darwin terms. The techniques are tested for the ground electronic state of the helium atom and new results are reported for the ground electronic state of the H3+_3^+ molecular ion near its equilibrium structure.

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Cite

@article{arxiv.2106.10355,
  title  = {On the inclusion of cusp effects in expectation values with explicitly correlated Gaussians},
  author = {Péter Jeszenszki and Robbie T. Ireland and Dávid Ferenc and Edit Mátyus},
  journal= {arXiv preprint arXiv:2106.10355},
  year   = {2021}
}