{ "id": "1510.08408", "version": "v1", "published": "2015-10-28T18:38:44.000Z", "updated": "2015-10-28T18:38:44.000Z", "title": "Trace formulas for Schrödinger operators on star graphs", "authors": [ "Semra Demirel-Frank", "Laura Shou" ], "categories": [ "math-ph", "math.MP" ], "abstract": "We derive trace formulas of the Buslaev-Faddeev type for quantum star graphs. One of the new ingredients is high energy asymptotics of the perturbation determinant.", "revisions": [ { "version": "v1", "updated": "2015-10-28T18:38:44.000Z" } ], "analyses": { "keywords": [ "schrödinger operators", "quantum star graphs", "high energy asymptotics", "buslaev-faddeev type", "perturbation determinant" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }