{
  "annotation_id": "2f2541e7-aa53-4c09-b266-28f755ba4bfe",
  "date_created": "2026-03-02T18:00:43.432000Z",
  "date_modified": "2026-03-02T18:00:43.432000Z",
  "file_hash": "2978e8813ca780edb764640aeba28cf18c68a298e75f55113c945ec65049f847",
  "private": false,
  "record": {
    "abstract": "Recent numerical work indicates that the classical motion of positronium in a\nconstant magnetic field does not exhibit chaotic behavior if the system is\nconfined to two dimensions. One would therefore expect this system to possess a\nsecond constant of the motion in addition to the total energy. In this paper we\nconstruct a generalization of the Laplace-Runge-Lenz vector and show that a\ncomponent of this vector is a constant of the motion.",
    "arxiv_id": "physics/0303105",
    "authors": [
      "Gerardo Munoz"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1103/PhysRevA.67.052503",
    "title": "Second constant of motion for two-dimensional positronium in a magnetic   field",
    "url": "https://arxiv.org/abs/physics/0303105"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e051a57-a197-4617-89ee-c53ad88cccc1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}