{ "id": "1412.2614", "version": "v1", "published": "2014-12-08T15:41:35.000Z", "updated": "2014-12-08T15:41:35.000Z", "title": "On eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials", "authors": [ "Andrey E. Mironov", "Bayan T. Saparbaeva" ], "comment": "7 pages", "categories": [ "math-ph", "math.MP", "math.SP", "nlin.SI" ], "abstract": "In this paper we point out an connection between eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials of degree 3, 4 and eigenfunctions of rank two commuting ordinary differential operators.", "revisions": [ { "version": "v1", "updated": "2014-12-08T15:41:35.000Z" } ], "analyses": { "keywords": [ "one-dimensional schrodinger operator", "polynomial potentials", "eigenfunctions", "commuting ordinary differential operators", "connection" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.2614M" } } }