{
  "annotation_id": "969d1a66-1bd7-4c15-aac2-d2592d4ae699",
  "date_created": "2026-03-02T18:02:34.124000Z",
  "date_modified": "2026-03-02T18:02:34.124000Z",
  "file_hash": "e320c2b6d8985e10bbaa47d70262bc08450b7060edefe035413f179ab81b026b",
  "private": false,
  "record": {
    "abstract": "We derive analytic expressions of the recursive solutions to the\nSchr\\\"{o}dinger\u0027s equation by means of a cutoff potential technique for\none-dimensional piecewise constant potentials. These solutions provide a method\nfor accurately determining the transmission probabilities as well as the wave\nfunction in both classically accessible region and inaccessible region for any\nbarrier potentials. It is also shown that the energy eigenvalues and the wave\nfunctions of bound states can be obtained for potential-well structures by\nexploiting this method. Calculational results of illustrative examples are\nshown in order to verify this method for treating barrier and potential-well\nproblems.",
    "arxiv_id": "quant-ph/0611197",
    "authors": [
      "Hwasung Lee",
      "Y. J. Lee"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/13/017",
    "title": "Determinable Solutions for One-dimensional Quantum Potentials:   Scattering, Quasi-bound and Bound State Problems",
    "url": "https://arxiv.org/abs/quant-ph/0611197"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc14e405-3772-4a75-af5c-2c8e429c6ec2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}