{
  "id": "math-ph/0102014",
  "version": "v1",
  "published": "2001-02-13T21:48:22.000Z",
  "updated": "2001-02-13T21:48:22.000Z",
  "title": "Canonical quantization of systems with time-dependent constraints",
  "authors": [
    "Sami I. Muslih"
  ],
  "comment": "10 pages, latex, no fiqures",
  "journal": "Czech.J.Phys. 52 (2002) 1303-1311",
  "doi": "10.1023/A:1021815526828",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Hamilton-Jacobi method of constrained systems is discussed. The equations of motion of a singular system with time dependent constraints are obtained as total differential equations in many variables. The integrability conditions for the relativistic particle in a plane wave lead us to obtain the canonical phase-space coordinates with out using any gauge fixing condition. As a result of the quantization, we obtain the Klein-Gordon theory for a particle in a plane wave. The path integral quantization for this system is obtained using the canonical path integral formulation method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-13T21:48:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time-dependent constraints",
      "canonical quantization",
      "canonical path integral formulation method",
      "plane wave",
      "total differential equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 553160
    }
  }
}