{ "id": "1512.01836", "version": "v1", "published": "2015-12-06T21:21:39.000Z", "updated": "2015-12-06T21:21:39.000Z", "title": "On some properties of number-phase Wigner function", "authors": [ "Maciej Przanowski", "Przemyslaw Brzykcy" ], "comment": "10 pages, 1 figure", "categories": [ "math-ph", "math.MP" ], "abstract": "It is shown that the number-phase Wigner function defines uniquely the respective density operator. Relations between the Glauber-Sudarshan distribution $\\mathcal{P}(\\alpha)$ and the number-phase Wigner function is found. This result is then generalised to the case of the Cahil-Glauber distributions $\\mathcal{W}^{(s)}(\\alpha)$, $-1\\leq s \\leq 1$.", "revisions": [ { "version": "v1", "updated": "2015-12-06T21:21:39.000Z" } ], "analyses": { "keywords": [ "properties", "number-phase wigner function defines", "cahil-glauber distributions", "glauber-sudarshan distribution", "respective density operator" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }