{ "id": "math-ph/0611088", "version": "v3", "published": "2006-11-30T17:55:41.000Z", "updated": "2007-09-05T13:15:30.000Z", "title": "Spectra of self-adjoint extensions and applications to solvable Schroedinger operators", "authors": [ "Jochen Bruening", "Vladimir Geyler", "Konstantin Pankrashkin" ], "comment": "81 pages, new references added, subsection 1.3 extended, typos corrected", "journal": "Rev. Math. Phys. 20 (2008) 1-70", "doi": "10.1142/S0129055X08003249", "categories": [ "math-ph", "math.MP", "math.SP" ], "abstract": "We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces, singular perturbations.", "revisions": [ { "version": "v3", "updated": "2007-09-05T13:15:30.000Z" } ], "analyses": { "keywords": [ "self-adjoint extensions", "solvable schroedinger operators", "applications", "boundary triples", "corresponding krein maps" ], "tags": [ "journal article" ], "publication": { "journal": "Reviews in Mathematical Physics", "year": 2008, "volume": 20, "number": 1, "pages": 1 }, "note": { "typesetting": "TeX", "pages": 81, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008RvMaP..20....1B" } } }