{
  "id": "2003.05509",
  "version": "v1",
  "published": "2020-03-11T20:15:26.000Z",
  "updated": "2020-03-11T20:15:26.000Z",
  "title": "Quasi-distributions for arbitrary non-commuting operators",
  "authors": [
    "J. S. Ben-Benjamin",
    "L. Cohen"
  ],
  "comment": "14 pages",
  "journal": "Physics Letters A 2020, 126393",
  "doi": "10.1016/j.physleta.2020.126393",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a new approach for obtaining quantum quasi-probability distributions, $P(\\alpha,\\beta)$, for two arbitrary operators, $\\mathbf{a}$ and $\\mathbf{b}$, where $\\alpha$ and $\\beta$ are the corresponding c-variables. We show that the quantum expectation value of an arbitrary operator can always be expressed as a phase space integral over $\\alpha$ and $\\beta$, where the integrand is a product of two terms: One dependent only on the quantum state, and the other only on the operator. In this formulation, the concepts of quasi-probability and correspondence rule arise naturally in that simultaneously with the derivation of the quasi-distribution, one obtains the generalization of the concept of correspondence rule for arbitrary operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-11T20:15:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary non-commuting operators",
      "arbitrary operator",
      "quasi-distribution",
      "phase space integral",
      "quantum expectation value"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}