{
  "annotation_id": "d10f93ee-fd6c-4e83-a591-e048b60d8b56",
  "date_created": "2026-03-02T18:02:03.595000Z",
  "date_modified": "2026-03-02T18:02:03.595000Z",
  "file_hash": "50dcd51200eececc929b1cb253f97925051da13e9d2f077cb98e20138cde8629",
  "private": false,
  "record": {
    "abstract": "The position and momentum space information entropies, of the ground state of\nthe P\\\"oschl-Teller potential, are exactly evaluated and are found to satisfy\nthe bound, obtained by Beckner, Bialynicki-Birula and Mycielski. These\nentropies for the first excited state, for different strengths of the potential\nwell, are then numerically obtained. Interesting features of the entropy\ndensities, owing their origin to the excited nature of the wave functions, are\ngraphically demonstrated. We then compute the position space entropies of the\ncoherent state of the P\\\"oschl-Teller potential, which is known to show revival\nand fractional revival. Time evolution of the coherent state reveals many\ninteresting patterns in the space-time flow of information entropy.",
    "arxiv_id": "quant-ph/0312095",
    "authors": [
      "Rajneesh Atre",
      "Anil Kumar",
      "C. Nagaraja Kumar",
      "Prasanta K. Panigrahi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.052107",
    "journal_ref": "Phys. Rev. A 69, 052107 (2004)",
    "title": "Quantum information entropies of the eigenstates and the coherent state   of the P\\\"oschl-Teller potential",
    "url": "https://arxiv.org/abs/quant-ph/0312095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ecdf0fd-2160-4cb6-81c3-92e31740e319",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}