{
  "annotation_id": "b99fc86a-e9ac-46a4-b524-948b32816035",
  "date_created": "2026-03-02T18:01:00.698000Z",
  "date_modified": "2026-03-02T18:01:00.698000Z",
  "file_hash": "b687f2d8601c0c98ce1bd0939e819e228f495bcd67ede217e7ee902d5e86c03d",
  "private": false,
  "record": {
    "abstract": "In the present work, we study the classical behavior of an electric dipole in\npresence of an external uniform magnetic field. We derive equations and\nconstants of motion from the Lagrangian formulation. We obtain an infinitely\nperiodic effective potential that describes a rotational motion. The problem is\nnot directly separable in relative and center of mass variables; even though,\nwe are able to write the energy of the system as a function of an only term,\nthe relative variable. We define another constant of motion, which couples the\nrelative with the center of mass variables. We describe conditions for bound\nstates of the dipole. In addition, we discuss the problem in the approximation\nof small oscillations. Finally, we explore the existence of a possible family\nof trapped states in a region of the space where there are no classical turning\npoints.",
    "arxiv_id": "physics/0508070",
    "authors": [
      "Paulina I. Troncoso",
      "Sergio Curilef"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1088/0143-0807/27/6/005",
    "journal_ref": "Eur. J. Phys. 27 (2006) 1315-1322",
    "title": "Trapped and Bound Classical States of an Electric Dipole in Magnetic   Field",
    "url": "https://arxiv.org/abs/physics/0508070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "88ad712f-480d-4e5d-87ad-996debf78fd5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}