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
Hauptverfasser: Sechin, I. A., Zotov, A. V.
Format: Artikel
Sprache:eng
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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 .
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577920100049