{
  "annotation_id": "0899e542-5510-4f66-96ee-889220cab698",
  "date_created": "2026-03-02T18:02:02.264000Z",
  "date_modified": "2026-03-02T18:02:02.264000Z",
  "file_hash": "142cbae77650ae2bd7dd657ae9bc9e6429d5101c63f768742b647d862e262889",
  "private": false,
  "record": {
    "abstract": "We show that the ground state of the well-known pseudo-stationary states for\nthe Caldirola-Kanai Hamiltonian is a generalized minimum uncertainty state,\nwhich has the minimum allowed uncertainty $\\Delta q \\Delta p = \\hbar\n\\sigma_0/2$, where $\\sigma_0 (\\geq 1)$ is a constant depending on the damping\nfactor and natural frequency. The most general symmetric Gaussian states are\nobtained as the one-parameter squeezed states of the pseudo-stationary ground\nstate. It is further shown that the coherent states of the pseudo-stationary\nground state constitute another class of the generalized minimum uncertainty\nstates.",
    "arxiv_id": "quant-ph/0309003",
    "authors": [
      "Sang Pyo Kim"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/48/011",
    "journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 12089-12095",
    "title": "Squeezed States of the Generalized Minimum Uncertainty State for the   Caldirola-Kanai Hamiltonian",
    "url": "https://arxiv.org/abs/quant-ph/0309003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65f1a34c-0979-4776-acf0-4f1e57c425c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}