{ "id": "1705.03157", "version": "v1", "published": "2017-05-09T03:06:34.000Z", "updated": "2017-05-09T03:06:34.000Z", "title": "The number of eigenvalues of the matrix Schrödinger operator on the half line with general boundary conditions", "authors": [ "Ricardo Weder" ], "categories": [ "math-ph", "math.MP" ], "abstract": "We prove a bound, of Birman-Schwinger type, on the number of eigenvalues of the matrix Schr\\\"odinger operator on the half line, with the most general self adjoint boundary condition at the origin, and with selfadjoint matrix potentials that are integrable and have a finite first moment.", "revisions": [ { "version": "v1", "updated": "2017-05-09T03:06:34.000Z" } ], "analyses": { "subjects": [ "34L25", "34L40", "81U05", "81Uxx" ], "keywords": [ "matrix schrödinger operator", "general boundary conditions", "half line", "general self adjoint boundary condition", "eigenvalues" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }