{
  "id": "quant-ph/0204042",
  "version": "v3",
  "published": "2002-04-08T12:34:16.000Z",
  "updated": "2002-07-01T14:06:10.000Z",
  "title": "Simple diamagnetic monotonicities for Schroedinger operators with inhomogeneous magnetic fields of constant direction",
  "authors": [
    "Hajo Leschke",
    "Rainer Ruder",
    "Simone Warzel"
  ],
  "journal": "Journal of Physics A: Mathematical and General 35 (2002) 5701-5709",
  "doi": "10.1088/0305-4470/35/27/311",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Under certain simplifying conditions we detect monotonicity properties of the ground-state energy and the canonical-equilibrium density matrix of a spinless charged particle in the Euclidean plane subject to a perpendicular, possibly inhomogeneous magnetic field and an additional scalar potential. Firstly, we point out a simple condition warranting that the ground-state energy does not decrease when the magnetic field and/or the potential is increased pointwise. Secondly, we consider the case in which both the magnetic field and the potential are constant along one direction in the plane and give a genuine path-integral argument for corresponding monotonicities of the density-matrix diagonal and the absolute value of certain off-diagonals. Our results complement to some degree results of M. Loss and B. Thaller [Commun. Math. Phys. 186 (1997) 95] and L. Erdos [J. Math. Phys. 38 (1997) 1289].",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-07-01T14:06:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inhomogeneous magnetic field",
      "simple diamagnetic monotonicities",
      "schroedinger operators",
      "constant direction",
      "ground-state energy"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}