{
  "annotation_id": "74df08b4-1030-49e5-bedb-0b0b832667e0",
  "date_created": "2026-03-02T18:01:21.530000Z",
  "date_modified": "2026-03-02T18:01:21.530000Z",
  "file_hash": "1f7389b0a44afe1228424e34c284e4064e602ed243c2c520375edffafd549889",
  "private": false,
  "record": {
    "abstract": "We study, both classically and quantum-mechanically, the problem of a neutral\nparticle with spin, moving in one-dimension in an inhomogeneous magnetic field.\nThis problem serves for us as a toy model to study the trapping of neutral\nparticles. We identify K, the ratio between the precessional frequency of the\nparticle and its vibration frequency, as the relevant parameter of the problem.\nClassicaly, we find that when the magnetic moment is antiparallel to the\ndirection of the magnetic field, the particle is trapped provided that K\u003c0.5.\nWe also find that viscous friction, be it translational or precessional,\ndestabilizes the system. Quantum-mechanically, we study the problem of spin\nhalf particle in the same field. Treating K as a small parameter for the\nperturbation from the adiabatic Hamiltonian, we find the lifetime of the\nparticle in its trapped ground-state.",
    "arxiv_id": "physics/9808007",
    "authors": [
      "S. Gov",
      "S. Shtrikman",
      "H. Thomas"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "1D Toy Model For Trapping Neutral Particles",
    "url": "https://arxiv.org/abs/physics/9808007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ee23b52d-df07-4deb-833f-93a9fd461312",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}