{
  "id": "quant-ph/0311159",
  "version": "v1",
  "published": "2003-11-24T14:25:26.000Z",
  "updated": "2003-11-24T14:25:26.000Z",
  "title": "Quantization of non-Hamiltonian and Dissipative Systems",
  "authors": [
    "Vasily E. Tarasov"
  ],
  "comment": "9p., LaTeX",
  "journal": "Physics Letters A 288 (2001) 173-182",
  "doi": "10.1016/S0375-9601(01)00548-5",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP",
    "physics.chem-ph"
  ],
  "abstract": "A generalization of canonical quantization which maps a dynamical operator to a dynamical superoperator is suggested. Weyl quantization of dynamical operator, which cannot be represented as Poisson bracket with some function, is considered. The usual Weyl quantization of observables is a specific case of suggested quantization. This approach allows to define consistent quantization procedure for non-Hamiltonian and dissipative systems. Examples of the harmonic oscillator with friction (generalized Lorenz-Rossler-Leipnik-Newton equation), the Fokker-Planck-type system and Lorenz-type system are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-24T14:25:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dissipative systems",
      "non-hamiltonian",
      "define consistent quantization procedure",
      "dynamical operator",
      "usual weyl quantization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 579850
    }
  }
}