{
  "id": "2209.10189",
  "version": "v1",
  "published": "2022-09-21T08:40:05.000Z",
  "updated": "2022-09-21T08:40:05.000Z",
  "title": "Hartree--Fock Theory, Lieb's Variational Principle, and their Generalizations",
  "authors": [
    "Volker Bach"
  ],
  "categories": [
    "quant-ph",
    "math-ph",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-21T08:40:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81-02",
      "81Q05",
      "81V45",
      "81V55",
      "81V74"
    ],
    "keywords": [
      "liebs variational principle",
      "generalizations",
      "quantum mechanics",
      "hartree-fock approximation right",
      "traditional hartree-fock theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}