{
  "id": "math-ph/9911025",
  "version": "v1",
  "published": "1999-11-19T15:52:17.000Z",
  "updated": "1999-11-19T15:52:17.000Z",
  "title": "Atoms in strong magnetic fields: The high field limit at fixed nuclear charge",
  "authors": [
    "Bernhard Baumgartner",
    "Jan Philip Solovej",
    "Jakob Yngvason"
  ],
  "doi": "10.1007/s002200000239",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let E(B,Z,N) denote the ground state energy of an atom with N electrons and nuclear charge Z in a homogeneous magnetic field B. We study the asymptotics of E(B,Z,N) as $B\\to \\infty$ with N and Z fixed but arbitrary. It is shown that the leading term has the form $(\\ln B)^2 e(Z,N)$, where e(Z,N) is the ground state energy of a system of N {\\em bosons} with delta interactions in {\\em one} dimension. This extends and refines previously known results for N=1 on the one hand, and $N,Z\\to\\infty$ with $B/Z^3\\to\\infty$ on the other hand.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-19T15:52:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V45",
      "81Q05"
    ],
    "keywords": [
      "strong magnetic fields",
      "high field limit",
      "fixed nuclear charge",
      "ground state energy",
      "delta interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}