{
  "id": "1907.00629",
  "version": "v1",
  "published": "2019-07-01T09:41:36.000Z",
  "updated": "2019-07-01T09:41:36.000Z",
  "title": "Semi-classical limit of confined fermionic systems in homogeneous magnetic fields",
  "authors": [
    "Søren Fournais",
    "Peter S. Madsen"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider a system of $ N $ interacting fermions in $ \\mathbb{R}^3 $ confined by an external potential and in the presence of a homogeneous magnetic field. The intensity of the interaction has the mean-field scaling $ 1/N $. With a semi-classical parameter $ \\hbar \\sim N^{-1/3} $, we prove convergence in the large $ N $ limit to the appropriate Magnetic Thomas-Fermi type model with various strength scalings of the magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-01T09:41:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogeneous magnetic field",
      "confined fermionic systems",
      "semi-classical limit",
      "appropriate magnetic thomas-fermi type model",
      "external potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}