{ "id": "1201.4929", "version": "v3", "published": "2012-01-24T08:58:49.000Z", "updated": "2014-01-09T13:55:56.000Z", "title": "Matrix superpotentials and superintegrable systems for arbitrary spin", "authors": [ "A. G. Nikitin" ], "comment": "15 pages", "journal": "J. Phys. A: Math. Theor. 45 (2012) 225205", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "A countable set of quantum superintegrable systems for arbitrary spin is solved explicitly using tools of supersymmetric quantum mechanics. It is shown that these systems (introduced by Pronko, J. Phys. A: Math. Theor. 40 (2007) ) include matrix shape invariant potentials classified recently in A. G. Nikitin and Y. Karadzhov, J. Phys. A: 44 (2011) 305204; J. Phys. A: 44 (2011) 445202.", "revisions": [ { "version": "v3", "updated": "2014-01-09T13:55:56.000Z" } ], "analyses": { "subjects": [ "81Qxx", "81Rxx" ], "keywords": [ "arbitrary spin", "matrix superpotentials", "supersymmetric quantum mechanics", "matrix shape invariant potentials", "quantum superintegrable systems" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1751-8113/45/22/225205", "journal": "Journal of Physics A Mathematical General", "year": 2012, "month": "Jun", "volume": 45, "number": 22, "pages": 225205 }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1085671, "adsabs": "2012JPhA...45v5205N" } } }