{
  "id": "math-ph/0006002",
  "version": "v1",
  "published": "2000-06-05T06:49:43.000Z",
  "updated": "2000-06-05T06:49:43.000Z",
  "title": "On the maximal ionization of atoms in strong magnetic fields",
  "authors": [
    "Robert Seiringer"
  ],
  "comment": "LaTeX2e, 8 pages",
  "journal": "J. Phys. A: Math. Gen. 34, 1943 (2001)",
  "doi": "10.1088/0305-4470/34/9/311",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give upper bounds for the number of spin 1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb's strategy, which is known to yield N_c<2Z+1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our upper bound has an additional term of order $Z\\times\\min{(B/Z^3)^{2/5},1+|\\ln(B/Z^3)|^2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-05T06:49:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V45",
      "46N50",
      "35Q40"
    ],
    "keywords": [
      "strong magnetic fields",
      "maximal ionization",
      "upper bound",
      "homogeneous magnetic field",
      "fermionic statistics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}