{
  "id": "1403.2735",
  "version": "v1",
  "published": "2014-02-23T03:18:43.000Z",
  "updated": "2014-02-23T03:18:43.000Z",
  "title": "A Derivation of the Quantized Electromagnetic Field Using Complex Dirac Delta Functions",
  "authors": [
    "Robert J Ducharme"
  ],
  "comment": "10 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is shown a complex function $\\Phi$ defined to be the product of a real Gaussian function and a complex Dirac delta function satisfies the Cauchy-Riemann equations. It is also shown these harmonic $\\Phi$-functions can be included in the solution of the classical electromagnetic field equations to generate the quantum field as a many-particle solution such that the $\\Phi$-functions represent the particle states. Creation and destruction operators are defined as usual to add or subtract photons from the particle states. The orbital angular momentum of the $\\Phi$-states is interpreted as spin since it emerges from a point source that must be circularly polarized as a requirement of the gauge condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-23T03:18:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantized electromagnetic field",
      "complex dirac delta function satisfies",
      "derivation",
      "particle states",
      "orbital angular momentum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.2735D"
    }
  }
}