Integrability of the \(C_n\) and \(BC_n\) Ruijsenaars-Schneider models

DOI10.1063/1.1323502zbMATH Open0985.81051arXivhep-th/0006004OpenAlexW1941905581WikidataQ59438564 ScholiaQ59438564MaRDI QIDQ2731825

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Publication date: 30 July 2001

Published in: (Search for Journal in Brave)

Abstract: We study the $C_n$ and $B{C}_n$ Ruijsenaars-Schneider(RS) models with interaction potential of trigonometric and rational types. The Lax pairs for these models are constructed and the involutive Hamiltonians are also given. Taking nonrelativistic limit, we also obtain the Lax pairs for the corresponding Calogero-Moser systems.

Full work available at URL: https://arxiv.org/abs/hep-th/0006004

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