{
  "id": "cond-mat/0411450",
  "version": "v1",
  "published": "2004-11-17T18:03:29.000Z",
  "updated": "2004-11-17T18:03:29.000Z",
  "title": "New Application of Functional Integrals to Classical Mechanics",
  "authors": [
    "Anton Zherebtsov",
    "Kirill Ilinski"
  ],
  "comment": "13 pages",
  "doi": "10.1016/j.physleta.2004.11.059",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "In this paper a new functional integral representation for classical dynamics is introduced. It is achieved by rewriting the Liouville picture in terms of bosonic creation-annihilation operators and utilizing the standard derivation of functional integrals for dynamical quantities in the coherent states representation. This results in a new class of functional integrals which are exactly solvable and can be found explicitly when the underlying classical systems are integrable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-17T18:03:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical mechanics",
      "application",
      "functional integral representation",
      "coherent states representation",
      "bosonic creation-annihilation operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}