English

Hartree--Fock Theory, Lieb's Variational Principle, and their Generalizations

Quantum Physics 2022-09-22 v1 Mathematical Physics math.MP

Abstract

Hartree--Fock theory in quantum mechanics is reviewed, from the proposal of the Hartree--Fock approximation right after quantum mechanics was formulated to its applications in modern physics. This includes the description of traditional Hartree--Fock theory in quantum chemistry, its generalizations of various kinds, and its importance for predicting the presence of symmetry breaking, or the absence thereof.

Keywords

Cite

@article{arxiv.2209.10189,
  title  = {Hartree--Fock Theory, Lieb's Variational Principle, and their Generalizations},
  author = {Volker Bach},
  journal= {arXiv preprint arXiv:2209.10189},
  year   = {2022}
}