{
  "id": "1711.07207",
  "version": "v1",
  "published": "2017-11-20T08:56:35.000Z",
  "updated": "2017-11-20T08:56:35.000Z",
  "title": "Quantum-classical transition in dissipative systems through scaled trajectories",
  "authors": [
    "S. V. Mousavi",
    "S. Miret-Artés"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "A nonlinear quantum-classical transition wave equation is proposed for dissipative systems within the Caldirola-Kanai model. Equivalence of this transition equation to a scaled Schr\\\"{o}dinger equation is proved. The dissipative dynamics is then studied in terms of what we call scaled trajectories following the standard procedure used in Bohmian mechanics. These trajectories depend on a continuous parameter allowing us a smooth transition from Bohmian to classical trajectories. Arrival times and actual momentum distribution functions are also analyzed. The propagation of a Gaussian wave packet in a viscid medium under the presence of constant, linear and harmonic potentials is studied. The gradual decoherence process and localization are easily visualized and understood within this theoretical framework.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-20T08:56:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dissipative systems",
      "scaled trajectories",
      "actual momentum distribution functions",
      "nonlinear quantum-classical transition wave equation",
      "gaussian wave packet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}