Integrable system of generalized relativistic interacting tops
We describe a family of integrable models generalizing classical spin Ruijsenaars–Schneider systems (the case ) on one hand and relativistic integrable tops on the Lie group (the case ) on the other hand. We obtain the described models using the Lax pair with a spectral parameter and derive the equa...
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Veröffentlicht in: | Theoretical and mathematical physics 2020-10, Vol.205 (1), p.1291-1302 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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Zusammenfassung: | We describe a family of integrable
models generalizing classical spin Ruijsenaars–Schneider systems (the case
) on one hand and relativistic integrable tops on the
Lie group (the case
) on the other hand. We obtain the described models using the Lax pair with a spectral parameter and derive the equations of motion. To construct the Lax representation, we use the
-matrix in the fundamental representation of
. |
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ISSN: | 0040-5779 1573-9333 |
DOI: | 10.1134/S0040577920100049 |