{
  "annotation_id": "f8765a98-c259-4497-999d-be576a33fa46",
  "date_created": "2026-03-02T18:02:44.481000Z",
  "date_modified": "2026-03-02T18:02:44.481000Z",
  "file_hash": "fd34836597b65345b51d175e288117ad125961b2e8615f591283ba45722f0f3f",
  "private": false,
  "record": {
    "abstract": "We study, both classically and quantum-mechanically, the problem of a neutral\nparticle with spin S, mass m and magnetic moment mue, moving in two-dimensions\nin an inhomogeneous magnetic field given by B_x=B\u0027*x; B_y=-B\u0027*y; B_z=B;\n  We identify K, the ratio between the precessional frequency of the particle\nand its vibration frequency, as the relevant parameter of the problem.\n  Classicaly, we find that when the magnetic moment is antiparallel to B, the\nparticle is trapped provided that K\u003csqrt{4/27}. We also find that viscous\nfriction, be it translational or precessional, destabilizes the system.\n  Quantum-mechanically, we study the problem of spin S=h_bar/2 particle in the\nsame field. Treating K as a small parameter for the perturbation from the\nadiabatic Hamiltonian, we find that the lifetime T_esc of the particle in its\ntrapped ground-state is T_esc={T_vib}/{128 pi^2} * exp{2/K} where T_vib is the\nclassical period of the particle when placed in the adiabatic potential V=mue\n*|B(x,y)|",
    "arxiv_id": "quant-ph/9812079",
    "authors": [
      "S. Gov",
      "S. Shtrikman",
      "H. Thomas"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Magnetic Trapping of Neutral Particles: A Study of a Physically   Realistic Model",
    "url": "https://arxiv.org/abs/quant-ph/9812079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c1df9bb0-3192-4e29-b5a0-87bb9567d950",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}