Explicitly correlated Gaussians with tensor pre-factors: analytic matrix elements
Nuclear Theory
2024-09-12 v1
Abstract
We consider a specific form of explicitly correlated Gaussians -- with tensor pre-factors -- which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians -- overlap, kinetic energy, and Coulomb potential -- to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom.
Cite
@article{arxiv.2407.17221,
title = {Explicitly correlated Gaussians with tensor pre-factors: analytic matrix elements},
author = {D. V. Fedorov and A. F. Teilmann and M. C. Østerlund and T. L. Norrbohm},
journal= {arXiv preprint arXiv:2407.17221},
year = {2024}
}