{ "id": "quant-ph/0404136", "version": "v2", "published": "2004-04-23T15:42:20.000Z", "updated": "2004-05-31T02:10:17.000Z", "title": "An approximation to $δ'$ couplings on graphs", "authors": [ "Taksu Cheon", "Pavel Exner" ], "comment": "10 pages, LaTeX, 1 figure added, to be published in J. of Phys. A", "journal": "Journal of Physics A37 (2004) L329-L335.", "doi": "10.1088/0305-4470/37/29/L01", "categories": [ "quant-ph", "cond-mat.mes-hall", "math-ph", "math.MP" ], "abstract": "We discuss a general parametrization for vertices of quantum graphs and show, in particular, how the $\\delta'_s$ and $\\delta'$ coupling at an $n$ edge vertex can be approximated by means of $n+1$ couplings of the $\\delta$ type provided the latter are properly scaled.", "revisions": [ { "version": "v2", "updated": "2004-05-31T02:10:17.000Z" } ], "analyses": { "keywords": [ "approximation", "general parametrization", "quantum graphs" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2004, "month": "Jul", "volume": 37, "number": 29 }, "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004JPhA...37L.329C" } } }