{
  "annotation_id": "f2753df5-2098-45c1-83a4-8a9744690afc",
  "date_created": "2026-03-02T18:02:40.643000Z",
  "date_modified": "2026-03-02T18:02:40.643000Z",
  "file_hash": "d8276442b37c5124b7df82c0b111eccf4be2eeb837e7f3f0afb94665c9762e9b",
  "private": false,
  "record": {
    "abstract": "We discuss a finite rectangular well as a perturbation for the infinite one\nwith a depth $\\lambda^2$ of the former as a perturbation parameter. In\nparticular we consider a behaviour of energy levels in the well as functions of\ncomplex $\\lambda$. It is found that all the levels of the same parity are\ndefined on infinitely sheeted Riemann surfaces which topological structures are\ndescribed in details. These structures differ considerably from those found in\nmodels investigated earlier. It is shown that perturbation series for all the\nlevels converge what is in contrast with the known results of Bender and Wu.\nThe last property is shown to hold also for the finite rectangular well with\nDirac delta barier as a perturbation considered earlier by Ushveridze.",
    "arxiv_id": "quant-ph/9712041",
    "authors": [
      "Mariusz Dudek",
      "Stefan Giller",
      "Piotr Milczarski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532794",
    "journal_ref": "J.Math.Phys. 40 (1999) 1163-1179",
    "title": "Rectangular Well as Perturbation",
    "url": "https://arxiv.org/abs/quant-ph/9712041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "74cc6c72-f45a-438d-a0f4-b303f847767c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}