{
  "annotation_id": "f307f585-b97a-44e0-ba59-06fb99217157",
  "date_created": "2026-03-02T18:01:59.862000Z",
  "date_modified": "2026-03-02T18:01:59.862000Z",
  "file_hash": "7fe6768036e80704a99a3405e318ae122e0ef39102eed891f33e2f93914ad7c8",
  "private": false,
  "record": {
    "abstract": "We compare the classical and quantum mechanical position-space probability\ndensities for a particle in an asymmetric infinite well. In an idealized system\nwith a discontinuous step in the middle of the well, the classical and quantum\nprobability distributions agree fairly well, even for relatively small quantum\nnumbers, except for anomalous cases which are due to the unphysical nature of\nthe potential. We are able to derive upper and lower bounds on the differences\nbetween the quantum and classical results. We also qualitatively discuss the\nmomentum-space probability densities for this system using intuitive ideas\nabout how much time a classical particle spends in various parts of the well.\nThis system provides an excellent example of a non-trivial, but tractable,\nquantum mechanical bound state problem where the correlations between the\namplitude and curvature of quantum mechanical wavefunctions can be easily\ncompared to classical intuition about particle motion, with quantitative\nsuccess, but also warning of possible surprises in non-physical limiting cases.",
    "arxiv_id": "quant-ph/0307014",
    "authors": [
      "M. A. Doncheski",
      "R. W. Robinett"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Eur. J. Phys. 21, 217 (2000)",
    "title": "Comparing classical and quantum probability distributions for an   asymmetric infinite well",
    "url": "https://arxiv.org/abs/quant-ph/0307014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fa9dea94-1abf-4095-b84f-b7533c05d182",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}