New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Magnano, Guido, Skrypnyk, Taras
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210703
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains. Guido Magnano and Taras Skrypnyk. SIGMA 16 (2020), 047, 27 pages

We propose a non-standard separation of variables for the classical integrable XXX and XXZ spin chains with a degenerate twist matrix. We show that for the case of such twist matrices, one can interchange the role of classical separating functions A(u) and B(u) and construct a new full set of separa...