{
  "id": "2104.09763",
  "version": "v1",
  "published": "2021-04-20T05:09:40.000Z",
  "updated": "2021-04-20T05:09:40.000Z",
  "title": "A mathematical analysis of Casimir interactions I: The scalar field",
  "authors": [
    "Yan-Long Fang",
    "Alexander Strohmaier"
  ],
  "comment": "41 pages, 2 figures, LaTeX",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP",
    "math.SP"
  ],
  "abstract": "Starting from the construction of the free quantum scalar field of mass $m\\geq 0$ we give mathematically precise and rigorous versions of three different approaches to computing the Casimir forces between compact obstacles. We then prove that they are equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-20T05:09:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T55",
      "58J50"
    ],
    "keywords": [
      "casimir interactions",
      "mathematical analysis",
      "free quantum scalar field",
      "casimir forces",
      "compact obstacles"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}