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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| container_title | Theoretical and mathematical physics |
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| creator | Sechin, I. A. Zotov, A. V. |
| description | 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
. |
| doi_str_mv | 10.1134/S0040577920100049 |
| format | Article |
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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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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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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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| source | SpringerNature Journals |
| subjects | 14/34 639/766/189 639/766/530 639/766/747 Applications of Mathematics Equations of motion Lie groups Mathematical and Computational Physics Physical Sciences Physics Physics and Astronomy Physics, Mathematical Physics, Multidisciplinary Relativistic effects Representations Science & Technology Theoretical |
| title | Integrable system of generalized relativistic interacting tops |
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