{
  "id": "quant-ph/0406010",
  "version": "v1",
  "published": "2004-06-01T17:42:46.000Z",
  "updated": "2004-06-01T17:42:46.000Z",
  "title": "Classical and Quantum Ensembles via Multiresolution. II. Wigner Ensembles",
  "authors": [
    "Antonina N. Fedorova",
    "Michael G. Zeitlin"
  ],
  "comment": "5 pages, 2 figures, espcrc2.sty, Presented at IX International Workshop on Advanced Computing and Analysis Techniques in Physics Research, Section III \"Simulations and Computations in Theoretical Physics and Phenomenology\", ACAT 2003, December, 2003, KEK, Tsukuba",
  "doi": "10.1016/j.nima.2004.07.080",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.PS",
    "physics.plasm-ph"
  ],
  "abstract": "We present the application of the variational-wavelet analysis to the analysis of quantum ensembles in Wigner framework. (Naive) deformation quantization, the multiresolution representations and the variational approach are the key points. We construct the solutions of Wigner-like equations via the multiscale expansions in the generalized coherent states or high-localized nonlinear eigenmodes in the base of the compactly supported wavelets and the wavelet packets. We demonstrate the appearance of (stable) localized patterns (waveletons) and consider entanglement and decoherence as possible applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-01T17:42:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum ensembles",
      "wigner ensembles",
      "deformation quantization",
      "variational-wavelet analysis",
      "wigner framework"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Nuclear Instruments and Methods in Physics Research A",
      "year": 2004,
      "month": "Nov",
      "volume": 534,
      "number": "1-2",
      "pages": 314
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004NIMPA.534..314F"
    }
  }
}