{
  "id": "quant-ph/9904102",
  "version": "v1",
  "published": "1999-04-29T18:17:12.000Z",
  "updated": "1999-04-29T18:17:12.000Z",
  "title": "Semiclassical dynamics of a spin-1/2 in an arbitrary magnetic field",
  "authors": [
    "Adrian Alscher",
    "Hermann Grabert"
  ],
  "comment": "16 pages, submitted to Journal of Physics A",
  "journal": "J.Phys.A32:4907-4919,1999",
  "doi": "10.1088/0305-4470/32/26/309",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The spin coherent state path integral describing the dynamics of a spin-1/2-system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical approximation leads to a continuous minimal action path with jumps at the endpoints. The resulting semiclassical propagator is shown to coincide with the exact quantum mechanical propagator. A non-linear transformation of the angle variables allows for a determination of the semiclassical path and the jumps without solving a boundary-value problem. The semiclassical spin dynamics is thus readily amenable to numerical methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-04-29T18:17:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary magnetic field",
      "semiclassical dynamics",
      "spin coherent state path integral",
      "minimal action path",
      "coherent state path integral describing"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 499122
    }
  }
}