{
  "id": "1801.02307",
  "version": "v1",
  "published": "2018-01-08T04:48:56.000Z",
  "updated": "2018-01-08T04:48:56.000Z",
  "title": "Geometric Quantization",
  "authors": [
    "Andrea Carosso"
  ],
  "comment": "32 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Geometric quantization is an attempt at using the differential-geometric ingredients of classical phase spaces regarded as symplectic manifolds in order to define a corresponding quantum theory. Generally, the process of geometric quantization is applicable to other symplectic manifolds, not only cotangent spaces. The resulting formalism provides a way of looking at quantum theory that is distinct from conventional approaches to the subject, e.g., the Dirac bra-ket formalism. In particular, such familiar features as the quantization of spin, the canonical quantization of position and momentum, and the Schr\\\"{o}dinger equation all emerge from geometric quantization. This paper serves as a review of the subject written in an informal style, often taking an example-based approach to exposition, and attempts to present the material without assuming the reader is an expert in differential geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-08T04:48:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric quantization",
      "symplectic manifolds",
      "dirac bra-ket formalism",
      "differential geometry",
      "corresponding quantum theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}