{
  "annotation_id": "c0d98b88-a551-4aab-9bd0-d2e880c35ca5",
  "date_created": "2026-03-02T18:01:48.931000Z",
  "date_modified": "2026-03-02T18:01:48.931000Z",
  "file_hash": "8d02dd2214273967ad2cf9b0e2d043fac9dcb0e0985921be42e63ee8ed1f25b8",
  "private": false,
  "record": {
    "abstract": "Under certain simplifying conditions we detect monotonicity properties of the\nground-state energy and the canonical-equilibrium density matrix of a spinless\ncharged particle in the Euclidean plane subject to a perpendicular, possibly\ninhomogeneous magnetic field and an additional scalar potential. Firstly, we\npoint out a simple condition warranting that the ground-state energy does not\ndecrease when the magnetic field and/or the potential is increased pointwise.\nSecondly, we consider the case in which both the magnetic field and the\npotential are constant along one direction in the plane and give a genuine\npath-integral argument for corresponding monotonicities of the density-matrix\ndiagonal and the absolute value of certain off-diagonals. Our results\ncomplement to some degree results of M. Loss and B. Thaller [Commun. Math.\nPhys. 186 (1997) 95] and L. Erdos [J. Math. Phys. 38 (1997) 1289].",
    "arxiv_id": "quant-ph/0204042",
    "authors": [
      "Hajo Leschke",
      "Rainer Ruder",
      "Simone Warzel"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/35/27/311",
    "journal_ref": "Journal of Physics A: Mathematical and General 35 (2002) 5701-5709",
    "title": "Simple diamagnetic monotonicities for Schroedinger operators with   inhomogeneous magnetic fields of constant direction",
    "url": "https://arxiv.org/abs/quant-ph/0204042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c84bd283-d943-413a-9f49-345769e4d9fe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}