{
  "id": "1801.05183",
  "version": "v1",
  "published": "2018-01-16T09:52:32.000Z",
  "updated": "2018-01-16T09:52:32.000Z",
  "title": "A note on the quantization of tensor fields and quantization of mechanical systems",
  "authors": [
    "J Muñoz-Díaz",
    "RJ Alonso-Blanco"
  ],
  "comment": "In arXiv:1701.04239 we have presented a canonical bridge between Classical and Quantum Mechanics. The current paper gives a purely mathematical method that assigns a differential operator to each covariant tensor field and each connection. As a non-trivial result, we also prove that in the case of mechanics, this second method produces the same quantization rule as that of arXiv:1701.04239",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the present work we present a canonical method of quantization for contravariant tensor fields. Its natural application to quantizing classical mechanical systems is proved to coincide with that developed in a previous article.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-16T09:52:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantization",
      "contravariant tensor fields",
      "natural application",
      "canonical method",
      "quantizing classical mechanical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}