{
  "annotation_id": "573e3085-67c9-4b7d-9c83-1d6785bb6fa8",
  "date_created": "2026-03-02T18:02:10.390000Z",
  "date_modified": "2026-03-02T18:02:10.390000Z",
  "file_hash": "62a6170b1b0dffe3485a4458e566c5bad44ce315b348874a6320dafead0ba686",
  "private": false,
  "record": {
    "abstract": "We discuss special k=sqrt{2m(E-V(x))/\\hbar^2}=0 (i. e. zero-curvature)\nsolutions of the one-dimensional Schrodinger equation in several model systems\nwhich have been used as idealized versions of various quantum well structures.\nWe consider infinite well plus Dirac delta function cases (where E=V(x)=0) and\npiecewise-constant potentials, such as asymmetric infinite wells (where\nE=V(x)=V_0\u003e0). We also construct supersymmetric partner potentials for several\nof the zero-energy solutions in these cases. One application of zero-curvature\nsolutions in the infinite well plus delta-function case is the construction of\n`designer\u0027 wavefunctions, namely zero-energy wavefunctions of essentially\narbitrary shape, obtained through the proper placement and choice of strength\nof the delta-functions.",
    "arxiv_id": "quant-ph/0410104",
    "authors": [
      "M. Belloni",
      "M. A. Doncheski",
      "R. W. Robinett"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Zero-curvature solutions of the one-dimensional Schrodinger equation",
    "url": "https://arxiv.org/abs/quant-ph/0410104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41efbcaa-dd93-434a-b358-a7838735fad6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}