{ "id": "1105.0628", "version": "v3", "published": "2011-05-03T16:31:55.000Z", "updated": "2012-07-24T09:29:38.000Z", "title": "Statistical measure of complexity for quantum systems with continuous variables", "authors": [ "Daniel Manzano" ], "comment": "6 pages, 5 figures. Published version", "journal": "Physica A, 391 (2012) 6238", "doi": "10.1016/j.physa.2012.06.058", "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "The Fisher-Shannon statistical measure of complexity is analyzed for a continuous manifold of quantum observables. It is probed then than calculating it only in the configuration and momentum spaces will not give a complete description for certain systems. Then a more general measure for the complexity of a quantum system by the integration of the usual Fisher-Shannon measure over all the parameter space is proposed. Finally, these measures are applied to the concrete case of a free particle in a box.", "revisions": [ { "version": "v3", "updated": "2012-07-24T09:29:38.000Z" } ], "analyses": { "keywords": [ "quantum system", "continuous variables", "complexity", "usual fisher-shannon measure", "free particle" ], "tags": [ "journal article" ], "publication": { "journal": "Physica A Statistical Mechanics and its Applications", "year": 2012, "month": "Dec", "volume": 391, "number": 23, "pages": 6238 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhyA..391.6238M" } } }