{
  "id": "quant-ph/0403196",
  "version": "v1",
  "published": "2004-03-27T10:31:42.000Z",
  "updated": "2004-03-27T10:31:42.000Z",
  "title": "Periodic Quasi - Exactly Solvable Models",
  "authors": [
    "S. Sree Ranjani",
    "A. K. Kapoor",
    "P. K. Panigrahi"
  ],
  "comment": "11 pages, 5 tables",
  "journal": "Int. jour. of Theoretical Phys., 44, No. 8, 1167 (2005).",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Various quasi-exact solvability conditions, involving the parameters of the periodic associated Lam{\\'e} potential, are shown to emerge naturally in the quantum Hamilton-Jacobi approach. It is found that, the intrinsic nonlinearity of the Riccati type quantum Hamilton-Jacobi equation is primarily responsible for the surprisingly large number of allowed solvability conditions in the associated Lam{\\'e} case. We also study the singularity structure of the quantum momentum function, which yields the band edge eigenvalues and eigenfunctions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-27T10:31:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exactly solvable models",
      "periodic quasi",
      "riccati type quantum hamilton-jacobi equation",
      "quantum momentum function",
      "band edge eigenvalues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}