{
  "id": "0907.0964",
  "version": "v1",
  "published": "2009-07-06T10:43:14.000Z",
  "updated": "2009-07-06T10:43:14.000Z",
  "title": "The Hamilton--Jacobi Theory and the Analogy between Classical and Quantum Mechanics",
  "authors": [
    "G. Marmo",
    "G. Morandi",
    "N. Mukunda"
  ],
  "comment": "42 pages, LaTeX with AIMS class",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We review here some conventional as well as less conventional aspects of the time-independent and time-dependent Hamilton-Jacobi (HJ) theory and of its connections with Quantum Mechanics. Less conventional aspects involve the HJ theory on the tangent bundle of a configuration manifold, the quantum HJ theory, HJ problems for general differential operators and the HJ problem for Lie groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-06T10:43:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H20",
      "70S05"
    ],
    "keywords": [
      "quantum mechanics",
      "hamilton-jacobi theory",
      "conventional aspects",
      "hj problem",
      "quantum hj theory"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 825184,
      "adsabs": "2009arXiv0907.0964M"
    }
  }
}