{ "id": "0707.0653", "version": "v2", "published": "2007-07-04T16:14:11.000Z", "updated": "2007-07-09T12:43:13.000Z", "title": "Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms", "authors": [ "Luc Frappat", "Rafael Nepomechie", "Eric Ragoucy" ], "comment": "23 pages -- Latex2e; misprints in appendix corrected", "journal": "J.Stat.Mech.0709:P09009,2007", "doi": "10.1088/1742-5468/2007/09/P09009", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We derive two sets of Bethe Ansatz equations, and find numerical evidence that together they give the complete set of $(2s+1)^{N}$ eigenvalues of the transfer matrix. For the case s=1, we explicitly determine the Hamiltonian, and find an expression for its eigenvalues in terms of Bethe roots.", "revisions": [ { "version": "v2", "updated": "2007-07-09T12:43:13.000Z" } ], "analyses": { "keywords": [ "general integrable boundary terms", "open spin-s xxz chain", "complete bethe ansatz solution", "xxz quantum spin chain", "spin-s xxz quantum spin" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Statistical Mechanics: Theory and Experiment", "year": 2007, "month": "Sep", "volume": 2007, "number": 9, "pages": 9009 }, "note": { "typesetting": "LaTeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 756530, "adsabs": "2007JSMTE..09....9F" } } }