A Spin-Shift Operator of the Multi-particle Ruijsenaars–Schneider Hamiltonian |
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| Authors: | Oshima Kazuyuki |
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| Institution: | (1) Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan |
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| Abstract: | We obtain a spin-shift operator for the multi-particle trigonometric Ruijsenaars–Schneider Hamiltonian. This result is a generalization of the argument in Phys. Lett. B
375 (1996), 89–97, where the integrability of the one-particle Ruijsenaars–Schneider system is shown by using the existence of a spin-shift operator. |
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| Keywords: | Dunkl– Cherednik operator Ruijsenaars– Schneider system spin-shift operator |
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