{
  "id": "1803.04921",
  "version": "v1",
  "published": "2018-03-13T16:27:21.000Z",
  "updated": "2018-03-13T16:27:21.000Z",
  "title": "On non-commutativity in quantum theory (III): determinantal point processes and non-relativistic quantum mechanics",
  "authors": [
    "Curcuraci Luca"
  ],
  "comment": "23 pages, 1 figure",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article concludes our critical analysis on the role of non-commutativity in quantum theory. After a brief introduction of the necessary notions on point processes, we re-analyse model B proposed in \"On non-commutativity in quantum theory (II): toy models for non-commutative kinematics\", using the point process theory. This viewpoint allows to generalize and modify the space process of model B in a simple manner, obtaining a new model (model C). This new model allows the recovery of non-relativistic quantum mechanics in a suitable limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-13T16:27:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-relativistic quantum mechanics",
      "determinantal point processes",
      "quantum theory",
      "non-commutativity",
      "point process theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}