{
  "id": "quant-ph/9702043",
  "version": "v1",
  "published": "1997-02-21T08:10:29.000Z",
  "updated": "1997-02-21T08:10:29.000Z",
  "title": "Time dependent partial waves and vortex rings in the dynamics of wave packets",
  "authors": [
    "R. Arvieu",
    "P. Rozmej",
    "W. Berej"
  ],
  "comment": "10 pages, LaTeX, 6 postscript figures, submitted to J. Phys. A: Math. Gen",
  "journal": "J.Phys.A30:5381-5392,1997",
  "doi": "10.1088/0305-4470/30/15/023",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We have found a new class of time dependent partial waves which are solutions of time dependent Schr\\\"odinger equation for three dimensional harmonic oscillator. We also showed the decomposition of coherent states of harmonic oscillator into these partial waves. This decomposition appears perticularly convenient for a description of the dynamics of a wave packet representing a particle with spin when the spin--orbit interaction is present in the hamiltonian. An example of an evolution of a localized wave packet into a torus and backwards, for a particular initial conditions is analysed in analytical terms and shown with a computer graphics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-02-21T08:10:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time dependent partial waves",
      "wave packet",
      "vortex rings",
      "dimensional harmonic oscillator",
      "decomposition appears perticularly convenient"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 1997,
      "month": "Aug",
      "volume": 30,
      "number": 15,
      "pages": 5381
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 440600,
      "adsabs": "1997JPhA...30.5381A"
    }
  }
}