{
  "annotation_id": "df73b399-8f75-4574-9d77-fe5d21b7ee4d",
  "date_created": "2026-03-02T18:02:29.887000Z",
  "date_modified": "2026-03-02T18:02:29.887000Z",
  "file_hash": "3f387d4fca41e2750d938b21f5f8d1010ddabd5f9517bf2881d6f9f599df9ed9",
  "private": false,
  "record": {
    "abstract": "We present an analysis of the two-dimensional Schrodinger equation for two\nelectrons interacting via Coulombic force and confined in an anizotropic\nharmonic potential. The separable case of wy = 2wx is studied particularly\ncarefully. The closed-form expressions for bound-state energies and the\ncorresponding eigenfunctions are found at some particular values of wx. For\nhighly-accurate determination of energy levels at other values of wx, we apply\nan efficient scheme based on the Frobenius expansion.",
    "arxiv_id": "quant-ph/0607176",
    "authors": [
      "Przemyslaw Koscik",
      "Anna Okopinska"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mtrl-sci",
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/1751-8113/40/5/012",
    "journal_ref": "J.Phys .A:Math.Theor.40(2007)1045-1055",
    "title": "Quasi-exact solutions for two interacting electrons in two-dimensional   anisotropic dots",
    "url": "https://arxiv.org/abs/quant-ph/0607176"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d3ab788d-ef38-4e75-8c8a-d90cbd11903e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}