{
  "annotation_id": "72e568c4-2a67-4529-9000-34eeb44906f5",
  "date_created": "2026-03-02T18:02:23.953000Z",
  "date_modified": "2026-03-02T18:02:23.953000Z",
  "file_hash": "9d6a3c05c2c96035614181681ff3e7d2d8b0ac70aee7d3c999795f11e8957d12",
  "private": false,
  "record": {
    "abstract": "We extend the standard treatment of the asymmetric infinite square well to\ninclude solutions that have zero curvature over part of the well. This type of\nsolution, both within the specific context of the asymmetric infinite square\nwell and within the broader context of bound states of arbitrary\npiecewise-constant potential energy functions, is not often discussed as part\nof quantum mechanics texts at any level. We begin by outlining the general\nmathematical condition in one-dimensional time-independent quantum mechanics\nfor a bound-state wave function to have zero curvature over an extended region\nof space and still be a valid wave function. We then briefly review the\nstandard asymmetric infinite square well solutions, focusing on zero-curvature\nsolutions as represented by energy eigenstates in position and momentum space.",
    "arxiv_id": "quant-ph/0512156",
    "authors": [
      "L. P. Gilbert",
      "M. Belloni",
      "M. A. Doncheski",
      "R. W. Robinett"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Eur. J. Phys. 26, 815-825 (2005)",
    "title": "More on the Asymmetric Infinite Square Well: Energy Eigenstates with   Zero Curvature",
    "url": "https://arxiv.org/abs/quant-ph/0512156"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "54705ec9-3aaa-44e6-b9e2-f52501af30e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}