{ "id": "1206.0814", "version": "v2", "published": "2012-06-05T03:48:07.000Z", "updated": "2012-10-08T23:15:34.000Z", "title": "Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms", "authors": [ "Rashad Baiyasi", "Rajan Murgan" ], "comment": "23 pages. arXiv admin note: substantial text overlap with arXiv:0901.3558; v2: published version", "journal": "J.Stat.Mech.1210:P10003,2012", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we derive a generalized form of T-Q relation involving more than one independent Q(u), which we use to propose the Bethe-ansatz-type expressions for the eigenvalues of the transfer matrix. At most two of the boundary parameters are set to be arbitrary and the bulk anisotropy parameter has values \\eta = i\\pi/2, i\\pi/4,... We also provide numerical evidence for the completeness of the Bethe-ansatz-type solutions derived, using s = 1 case as an example.", "revisions": [ { "version": "v2", "updated": "2012-10-08T23:15:34.000Z" } ], "analyses": { "keywords": [ "open spin-s xxz chain", "nondiagonal boundary terms", "generalized t-q relations", "xxz quantum spin chain", "spin-s xxz quantum spin" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1742-5468/2012/10/P10003", "journal": "Journal of Statistical Mechanics: Theory and Experiment", "year": 2012, "month": "Oct", "volume": 2012, "number": 10, "pages": 10003 }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1117234, "adsabs": "2012JSMTE..10..003B" } } }