On the Hartree-Fock Eigenvalue Problem
Classical Analysis and ODEs
2025-11-17 v3 Mathematical Physics
math.MP
Abstract
Using properties of harmonic functions in multidimensional space, we transform the Hartree-Fock eigenvalue problem into a more tractable eigenvalue problem in which the Laplacian is eliminated. This new formulation may facilitate the development of novel ways of finding approximate solutions of the electronic problem.
Cite
@article{arxiv.2408.07708,
title = {On the Hartree-Fock Eigenvalue Problem},
author = {Richard A Zalik},
journal= {arXiv preprint arXiv:2408.07708},
year = {2025}
}