{
  "id": "math-ph/0011031",
  "version": "v1",
  "published": "2000-11-17T13:12:44.000Z",
  "updated": "2000-11-17T13:12:44.000Z",
  "title": "On the ordering of energy levels in homogeneous magnetic fields",
  "authors": [
    "Bernhard Baumgartner",
    "Robert Seiringer"
  ],
  "comment": "LaTeX2e, 14 pages",
  "journal": "Lett. Math. Phys. 54, 213 (2000)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the energy levels of a single particle in a homogeneous magnetic field and in an axially symmetric external potential. For potentials that are superharmonic off the central axis, we find a general ``pseudoconcave'' ordering of the ground state energies of the Hamiltonian restricted to the sectors with fixed angular momentum. The physical applications include atoms and ions in strong magnetic fields. There the energies are monotone increasing and concave in angular momentum. In the case of a periodic chain of atoms the pseudoconcavity extends to the entire lowest band of Bloch functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-17T13:12:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogeneous magnetic field",
      "energy levels",
      "angular momentum",
      "entire lowest band",
      "axially symmetric external potential"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.ph..11031B"
    }
  }
}