{ "id": "math-ph/0309066", "version": "v1", "published": "2003-09-30T18:34:24.000Z", "updated": "2003-09-30T18:34:24.000Z", "title": "Asymptotic iteration method for eigenvalue problems", "authors": [ "Hakan Ciftci", "Richard L. Hall", "Nasser Saad" ], "comment": "14 pages", "journal": "J. Phys. A 36, 11807-11816 (2003)", "doi": "10.1088/0305-4470/36/47/008", "categories": [ "math-ph", "math.MP" ], "abstract": "An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x) y is introduced, where lambda(x) \\neq 0 and s(x) are C-infinity functions. Applications to Schroedinger type problems, including some with highly singular potentials, are presented.", "revisions": [ { "version": "v1", "updated": "2003-09-30T18:34:24.000Z" } ], "analyses": { "subjects": [ "81Q05", "34B40" ], "keywords": [ "asymptotic iteration method", "eigenvalue problems", "second-order homogeneous linear differential equations", "asymptotic interation method", "solving second-order homogeneous linear differential" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }