{ "id": "cond-mat/0505050", "version": "v1", "published": "2005-05-02T23:49:41.000Z", "updated": "2005-05-02T23:49:41.000Z", "title": "On the connection between Random Waves and Quantum Fields. Duality between nodal lines statistic and the Casimir energy", "authors": [ "A. Scardicchio" ], "comment": "13 pages, no figures", "journal": "J.Phys. A39 (2006) 2203-2211", "categories": [ "cond-mat.stat-mech", "hep-th", "math-ph", "math.MP" ], "abstract": "Using the statistical description common to random waves and quantum fields we show how the probability of having a nodal line close to a (translationally symmetric) reference curve $\\gamma$ is related to the Casimir energy of an appropriate configuration of conductors.", "revisions": [ { "version": "v1", "updated": "2005-05-02T23:49:41.000Z" } ], "analyses": { "subjects": [ "03.70.+k" ], "keywords": [ "nodal lines statistic", "quantum fields", "casimir energy", "random waves", "connection" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/0305-4470/39/9/014", "journal": "Journal of Physics A Mathematical General", "year": 2006, "month": "Mar", "volume": 39, "number": 9, "pages": 2203 }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 681942, "adsabs": "2006JPhA...39.2203S" } } }