{
  "annotation_id": "844be407-2f6f-4b77-9800-a03bd39ca119",
  "date_created": "2026-03-02T18:01:42.575000Z",
  "date_modified": "2026-03-02T18:01:42.575000Z",
  "file_hash": "3cf247af7bbb8148ce94ab3871f71b96a3b0d279ceb87103aa1a382356595fa1",
  "private": false,
  "record": {
    "abstract": "It is shown that the potential perturbation that shifts a chosen standing\nwave in space is a block of potential barrier and well for every wave bump\nbetween neighbouring knots. The algorithms shifting the range of the primary\nlocalization of a chosen bound state in a potential well of finite width are as\nwell applicable to the scattering functions if states of the continuous\nspectrum are considered as bound states normalized to unity but distributed on\nan infinite interval with vanishing density. The potential perturbations of the\nsame type on the half-axis concentrate the scattering wave at the origin, thus\ncreating a bound state embedded into the continuous spectrum (zero width\nresonance). It is an improved version of paper: Annalen der Physik, 6 (1997)\n136.",
    "arxiv_id": "quant-ph/0104026",
    "authors": [
      "V. M. Chabanov",
      "B. N. Zakhariev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1002/andp.19975090204",
    "journal_ref": "Annalen der Physik, 6 (1997) 136",
    "title": "Universal Elementary Constituents of Potential Transformations Shifting   Waves (Qualitative Theory)",
    "url": "https://arxiv.org/abs/quant-ph/0104026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "909167d7-5c47-43e4-b3f6-a93cc068fe75",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}