{
  "id": "2311.11945",
  "version": "v1",
  "published": "2023-11-20T17:28:02.000Z",
  "updated": "2023-11-20T17:28:02.000Z",
  "title": "Bozonized Momentum Distribution of a Fermi Gas via Friedrichs Diagrams",
  "authors": [
    "Sascha Lill"
  ],
  "comment": "27 pages, 10 figures",
  "categories": [
    "math-ph",
    "cond-mat.quant-gas",
    "cond-mat.str-el",
    "math.MP"
  ],
  "abstract": "Recently, Benedikter and the author proved an approximate formula for the momentum distribution of a 3d fermionic gas interacting by a short-range pair potential in the mean-field regime, within a trial state close to the ground state. Here, we derive an exact formula for the momentum distribution in this trial state, using a diagrammatic formalism due to Friedrichs. We further demonstrate how the formula of Benedikter and the author arises from a restriction of the contributing diagrams to those corresponding to a bosonization approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-20T17:28:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V70",
      "81V74",
      "81Q12",
      "81S05"
    ],
    "keywords": [
      "bozonized momentum distribution",
      "fermi gas",
      "friedrichs diagrams",
      "3d fermionic gas",
      "short-range pair potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}