{
  "id": "quant-ph/0407068",
  "version": "v2",
  "published": "2004-07-08T23:13:20.000Z",
  "updated": "2005-01-20T18:11:33.000Z",
  "title": "Coherent states with elliptical polarization",
  "authors": [
    "E. Colavita",
    "S. Hacyan"
  ],
  "comment": "10 pages, 1 figures",
  "doi": "10.1016/j.physleta.2005.01.061",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Coherent states of the two dimensional harmonic oscillator are constructed as superpositions of energy and angular momentum eigenstates. It is shown that these states are Gaussian wave-packets moving along a classical trajectory, with a well defined elliptical polarization. They are coherent correlated states with respect to the usual cartesian position and momentum operators. A set of creation and annihilation operators is defined in polar coordinates, and it is shown that these same states are precisely coherent states with respect to such operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-20T18:11:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptical polarization",
      "dimensional harmonic oscillator",
      "usual cartesian position",
      "angular momentum eigenstates",
      "polar coordinates"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}