{
  "annotation_id": "4d7bd132-8855-4471-a683-f778fa84f72f",
  "date_created": "2026-03-02T18:02:26.466000Z",
  "date_modified": "2026-03-02T18:02:26.466000Z",
  "file_hash": "94731bc0a603485ebe3fceed3128b77b9b95aae2b15e2b084a0721fe03ce4ef0",
  "private": false,
  "record": {
    "abstract": "We present the quantum mechanics problem of the one-dimensional Schroedinger\nequation with the trigonometric Rosen-Morse potential. This potential is of\npossible interest to quark physics in so far as it captures the essentials of\nthe QCD quark-gluon dynamics and (i) interpolates between a Coulomb-like\npotential (associated with one-gluon exchange) and the infinite wall potential\n(associated with asymptotic freedom), (ii) reproduces in the intermediary\nregion the linear confinement potential (associated with multi-gluon\nself-interactions) as established by lattice QCD calculations of hadron\nproperties. Moreover, its exact real solutions given here display a new class\nof real orthogonal polynomials and thereby interesting mathematical entities in\ntheir own.",
    "arxiv_id": "quant-ph/0603232",
    "authors": [
      "C. B. Compean",
      "M. Kirchbach"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The Quantum Mechanics Problem of the Schroedinger Equation with the   Trigonometric Rosen-Morse Potential",
    "url": "https://arxiv.org/abs/quant-ph/0603232"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd7d5605-c03d-4f33-bac2-b20419d1d9b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}