{
  "annotation_id": "48ab5bc0-48f3-4871-abdd-c0aeacb5df9a",
  "date_created": "2026-03-02T18:02:41.039000Z",
  "date_modified": "2026-03-02T18:02:41.039000Z",
  "file_hash": "5cf32cfd4621caf1badc1d9e3c7bc99b4ac95a2851ccf21d32b16bed314a54dc",
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  "record": {
    "abstract": "It is shown that a change of variable in 1-dim Schroedinger equation applied\nto the Borel summable fundamental solutions [Giller] is equivalent to Borel\nresummation of the fundamental solutions multiplied by suitably chosen\n$\\hbar$-dependent constant. This explains why change of variable can improve\nJWKB formulae [Giller, Milczarski]. It is shown also that a change of variable\nalone cannot provide us with the exact JWKB formulae.",
    "arxiv_id": "quant-ph/9712039",
    "authors": [
      "Stefan Giller",
      "Piotr Milczarski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/6/009",
    "journal_ref": "J.Phys.A32:955-976,1999",
    "title": "Change of Variable as Borel Resummation of Semiclassical Series",
    "url": "https://arxiv.org/abs/quant-ph/9712039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13094390-ae04-4c67-8ac2-9d18f03e61ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}