{
  "id": "1308.5118",
  "version": "v1",
  "published": "2013-08-23T13:00:27.000Z",
  "updated": "2013-08-23T13:00:27.000Z",
  "title": "On the Strong Coupling Limit of Many-Polaron Systems in Electromagnetic Fields",
  "authors": [
    "David Wellig"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper estimates on the ground state energy of Fr\\\"ohlich $N$-polarons in electromagnetic fields in the strong coupling limit, $\\alpha\\to\\infty$, are derived. It is shown that the ground state energy is given by $\\alpha^2$ multiplied by the minimal energy of the corresponding Pekar-Tomasevich functional for $N$ particles, up to an error term of order $\\alpha^{42/23}N^3$. The potentials $A,V$ are suitably rescaled in $\\alpha$. As a corollary, binding of $N$-polarons for strong magnetic fields for large coupling constants is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-23T13:00:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong coupling limit",
      "electromagnetic fields",
      "many-polaron systems",
      "ground state energy",
      "strong magnetic fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.5118W"
    }
  }
}