# Generalised Calogero-Moser models and universal Lax pair operators

@article{Bordner1999GeneralisedCM,
title={Generalised Calogero-Moser models and universal Lax pair operators},
author={Andrew J. Bordner and E Corrigan and Ryu Sasaki},
journal={Progress of Theoretical Physics},
year={1999},
volume={102},
pages={499-529}
}
• Published 3 May 1999
• Mathematics
• Progress of Theoretical Physics
Calogero-Moser models can be generalised for all of the finite reflection groups. These include models based on non-crystallographic root systems, that is the root systems of the finite reflection groups, H3, H4, and the dihedral group I2(m), besides the well-known ones basedon crystallographic root systems, namely those associatedwith Lie algebras. Universal Lax pair operators for all of the generalisedCalogero-Moser mod els andfor any choices of the potentials are constructedas linear…

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Universal Lax pairs (the root type and the minimal type) are presented for CalogeroMoser models based on simply laced root systems, including E8. They exist with and without spectral parameters and
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