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

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...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine