{
  "annotation_id": "936e87b5-23d1-4261-b8be-17e617c56f6d",
  "date_created": "2026-03-02T18:02:27.514000Z",
  "date_modified": "2026-03-02T18:02:27.514000Z",
  "file_hash": "40615e592c263ba45bf62f79d6406036ffab49758e132c77830f11b3d6508d00",
  "private": false,
  "record": {
    "abstract": "Traditionally, finite differences and finite element methods have been by\nmany regarded as the basic tools for obtaining numerical solutions in a variety\nof quantum mechanical problems emerging in atomic, nuclear and particle\nphysics, astrophysics, quantum chemistry, etc. In recent years, however, an\nalternative technique based on the semi-spectral methods has focused\nconsiderable attention. The purpose of this work is first to provide the\nnecessary tools and subsequently examine the efficiency of this method in\nquantum mechanical applications. Restricting our interest to time independent\ntwo-body problems, we obtained the continuous and discrete spectrum solutions\nof the underlying Schroedinger or Lippmann-Schwinger equations in both, the\ncoordinate and momentum space. In all of the numerically studied examples we\nhad no difficulty in achieving the machine accuracy and the semi-spectral\nmethod showed exponential convergence combined with excellent numerical\nstability.",
    "arxiv_id": "quant-ph/0606100",
    "authors": [
      "A. Deloff"
    ],
    "categories": [
      "quant-ph",
      "nucl-th"
    ],
    "doi": "10.1016/j.aop.2006.07.004",
    "journal_ref": "AnnalsPhys.322:1373-1419,2007",
    "title": "Semi-spectral Chebyshev method in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0606100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7e9ee9ff-30eb-44bc-8c36-58f2aa3b1e24",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}