{
  "annotation_id": "a8427841-b557-4a2b-88cc-2ba58273753e",
  "date_created": "2026-03-02T18:01:42.460000Z",
  "date_modified": "2026-03-02T18:01:42.460000Z",
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  "record": {
    "abstract": "The independent solutions of the one-dimensional Schr\\\"odinger equation are\napproximated by means of the explicit summation of the leading constituent WKB\nseries. The continuous matching of the particular solutions gives the uniformly\nvalid analytical approximation to the wave functions. A detailed numerical\nverification of the proposed approximation is performed for some exactly\nsolvable problems arising from different kinds of potentials.",
    "arxiv_id": "quant-ph/0102111",
    "authors": [
      "Vladimir V. Kudryashov",
      "Yulian V. Vanne"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "J. Appl. Math., vol. 2, no. 6 (2002) 265-275",
    "title": "Explicit summation of the constituent WKB series and new approximate   wave functions",
    "url": "https://arxiv.org/abs/quant-ph/0102111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "43892fe7-58bc-40f1-bcc5-e7d73e29d5fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}