{
  "annotation_id": "4f7e0327-e39b-40e1-add1-a18d3420877f",
  "date_created": "2026-03-02T18:02:41.610000Z",
  "date_modified": "2026-03-02T18:02:41.610000Z",
  "file_hash": "74dd35163f16c155b44057fdb1f0b3ef80faad2cafe0454668c908a7e7535dc9",
  "private": false,
  "record": {
    "abstract": "For a charged particle in a homogeneous magnetic field, we construct\nstationary squeezed states which are eigenfunctions of the Hamiltonian and the\nnon-Hermitian operator $\\hat{X}_{\\Phi} = \\hat{X} \\cos \\Phi + \\hat{Y} \\sin\n\\Phi$, $\\hat{X}$ and $\\hat{Y}$ being the coordinates of the Larmor circle\ncenter and $\\Phi$ is a complex parameter. In the family of the squeezed states,\nthe quantum uncertainty in the Larmor circle position is minimal. The wave\nfunctions of the squeezed states in the coordinate representation are found and\ntheir properties are discussed. Also, for arbitrary gauge of the vector\npotential we derive the symmetry operators of translations and rotations.",
    "arxiv_id": "quant-ph/9801077",
    "authors": [
      "M. Ozana",
      "A. L. Shelankov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1134/1.1130543",
    "journal_ref": "Solid State Phys. 40 (1998) 1276",
    "title": "Squeezed States of a Particle in Magnetic Field",
    "url": "https://arxiv.org/abs/quant-ph/9801077"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3f385d9-c4cc-4dee-93e3-7d79367526c9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}