{
  "annotation_id": "f76f1722-9f7b-4d90-accb-b5a753d969e4",
  "date_created": "2026-03-02T18:02:07.055000Z",
  "date_modified": "2026-03-02T18:02:07.055000Z",
  "file_hash": "8adf6829f0f5a02ee2d96c007e66fcd67175733327af08f15081938408aa8f14",
  "private": false,
  "record": {
    "abstract": "The structure of the energy levels in a deep triple well is analyzed using\nsimple quantum mechanical considerations. The resultant spectra of the first\nthree energy levels are found to be composed of a ground state localized at the\ncentral well and the two other states are distributed only among the left and\nright well in anti-symmetric and symmetric way respectively. Due to the\ntunneling effects the energy eigenvalue of the ground state is approximately\nequal to the ground state energy for a harmonic oscillator localized at the\ncentral well, while the two others are nearly degenerate with approximate\nvalues equal to the ground state energy of a harmonic oscillator localized at\nthe left or right well. The resulting pattern of the spectra are confirmed\nnumerically. The failure of the instantonic approach recently applied for\npredicting the correct spectra is commented",
    "arxiv_id": "quant-ph/0406075",
    "authors": [
      "H. A. Alhendi",
      "E. I. Lashin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Symmetric Triple Well with Non-Equivalent Vacua: Simple Quantum   Mechanical Approach",
    "url": "https://arxiv.org/abs/quant-ph/0406075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8d6dfa83-e3c7-4a0d-91ad-ed5aedc41f81",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}