{
  "annotation_id": "f57ce69b-036f-47c7-a723-4ba47d30488e",
  "date_created": "2026-03-02T18:02:10.005000Z",
  "date_modified": "2026-03-02T18:02:10.005000Z",
  "file_hash": "dc8384e859b3411213e62a6c519e0cc8d0f5f0629fd75c1175eca9187673e385",
  "private": false,
  "record": {
    "abstract": "In this thesis the quantum Hamilton - Jacobi (QHJ) formalism is used for (i)\npotentials which exhibit different spectra for different ranges of the\npotential parameters, (ii) exactly solvable (ES) periodic potentials (iii)\nquasi - exactly solvable (QES) periodic potentials and (iv) the PT symmetric\npotentials (ES and QES). The QHJ formalism provides a simple and elegant method\nto obtain the bound state and the band edge eigenvalues and the eigenfunctions.\nFor this purpose, a simple conjecture on the singularities of the logarithmic\nderivative of the wave function in the complex plane is made and used in a\nstraight forward fashion to obtain the desired results.",
    "arxiv_id": "quant-ph/0408036",
    "authors": [
      "S. Sree Ranjani"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Hamilton - Jacobi soluton for spectra of several one dimensional   potentials with special properties",
    "url": "https://arxiv.org/abs/quant-ph/0408036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e3a0a7e-fd72-4a33-af69-111bfba8061e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}