{
  "annotation_id": "d30d15bb-8f71-4fd5-acac-147108b6432d",
  "date_created": "2026-03-02T18:02:13.578000Z",
  "date_modified": "2026-03-02T18:02:13.578000Z",
  "file_hash": "fa8a3c7a3b46f921d5d9a098511c18418e45aa96f87dec14f0d46eefeae5a3fb",
  "private": false,
  "record": {
    "abstract": "In continuation of our previous work investigating the possibility of the use\nof the Level Set Method in quantum control, we here present some numerical\nresults for a Morse potential. We find that a proper treatment of the Morse\npotential eigenfunctions and eigenvalues for the case of a system with a small\nnumber of bound energy levels, the anharmonic perturbative approximation is\nactually invalid. We, therefore, use a Runge-Kutta integration method that\ngives more plausible results. We also calculate the dipole moment for the\ntransitions between the two levels with our eigenfunctions and find that there\nis a critical depth of the potential. Finally we find the level sets giving\nequal expectation values of the energy, and comment on the unitary operators\nneeded to make transitions from any level set to another.",
    "arxiv_id": "quant-ph/0411159",
    "authors": [
      "Fariel Shafee"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Energy Level Sets for the Morse Potential",
    "url": "https://arxiv.org/abs/quant-ph/0411159"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "25f8fc27-99e7-42ae-879b-d42ef7a627eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}