{
  "annotation_id": "97071880-896d-487a-a115-69e86e1edd87",
  "date_created": "2026-03-02T18:01:42.644000Z",
  "date_modified": "2026-03-02T18:01:42.644000Z",
  "file_hash": "6c6248af46749427c5753c771c9bd74706f0708065363dae3425462002f04d13",
  "private": false,
  "record": {
    "abstract": "For the models of $N$-body identical harmonic oscillators interacting through\npotentials of homogeneous degree -2, the unitary operator that transforms a\nsystem of time-dependent parameters into that of unit spring constant and unit\nmass of different timescale is found. If the interactions can be written in\nterms of the differences between positions of two particles, it is also shown\nthat the Schr\\\"{o}dinger equation is invariant under a unitary transformation.\nThese unitary relations can be used not only in finding coherent states from\nthe given stationary states in a system, but also in finding exact wave\nfunctions of the Hamiltonian systems of time-dependent parameters from those of\ntime-independent Hamiltonian systems. Both operators are invariant under the\nexchange of any pair of particles. The transformations are explicitly applied\nfor some of the Calogero-Sutherland models to find exact coherent states.",
    "arxiv_id": "quant-ph/0102022",
    "authors": [
      "Dae-Yup Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.032104",
    "journal_ref": "Phys. Rev. A 63, 032104 (2001)",
    "title": "Exact coherent states in one-dimensional quantum many-body systems with   inverse-square interactions",
    "url": "https://arxiv.org/abs/quant-ph/0102022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e9ea1cb9-7c80-4aa8-a298-1fdbcda0b0db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}