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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Magnano, Guido, Skrypnyk, Taras
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210703
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...