{
  "id": "0906.0388",
  "version": "v2",
  "published": "2009-06-01T22:02:37.000Z",
  "updated": "2009-06-03T18:31:24.000Z",
  "title": "Semiclassical and quantum description of motion on noncommutative plane",
  "authors": [
    "M. C. Baldiotti",
    "J. P. Gazeau",
    "D. M. Gitman"
  ],
  "comment": "20 pages",
  "journal": "Phys.Lett.A373:3937-3943,2009",
  "doi": "10.1016/j.physleta.2009.08.059",
  "categories": [
    "quant-ph",
    "hep-th"
  ],
  "abstract": "We study the canonical and the coherent state quantization of a particle moving in a magnetic field on a non-commutative plane. Starting from the so called \\theta-modified action, we perform the canonical quantization and analyze the gauge dependence of the obtained quantum theory. We construct the Malkin-Man'ko coherent states of the system in question, and the corresponding quantization. On this base, we study the relation between the coherent states and the \"classical\" trajectories predicted by the \\theta-modified action. In addition, we construct different semiclassical states, making use of special properties of circular squeezed states. With the help of these states, we perform the Berezin-Klauder-Toeplitz quantization and present a numerical exploration of the semiclassical behavior of physical quantities in these states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-03T18:31:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "03.65.Sq",
      "11.10.Nx"
    ],
    "keywords": [
      "quantum description",
      "noncommutative plane",
      "semiclassical",
      "coherent state quantization",
      "malkin-manko coherent states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2009,
      "month": "Oct",
      "volume": 373,
      "number": 43,
      "pages": 3937
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 822512,
      "adsabs": "2009PhLA..373.3937B"
    }
  }
}