{
  "id": "1605.04277",
  "version": "v1",
  "published": "2016-05-12T19:56:21.000Z",
  "updated": "2016-05-12T19:56:21.000Z",
  "title": "Solutions of the Schrödinger equation given by solutions of the Hamilton--Jacobi equation",
  "authors": [
    "G. F. Torres del Castillo",
    "C. Sosa-Sánchez"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "We find the form of the potential depending on the coordinates and the time such that a solution, $S$, of the Hamilton--Jacobi equation yields an exact solution, $\\exp ({\\rm i} S/\\hbar)$, of the corresponding Schr\\\"odinger equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-12T19:56:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrödinger equation",
      "hamilton-jacobi equation yields",
      "exact solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}