## Abstract

It is shown that the Calogero-Moser models based on all root systems of the finite reflection groups (both the crystallographic and non-crystallographic cases) with the rational (with/without a harmonic confining potential), trigonometric and hyperbolic potentials can be simply supersymmetrised in terms of superpotentials. There is a universal formula for the supersymmetric ground state wavefunction. Since the bosonic part of each supersymmetric model is the usual quantum Calogero-Moser model, this gives a universal formula for its ground state wavefunction and energy, which is determined purely algebraically. Quantum Lax pair operators and conserved quantities for all the above Calogero-Moser models are established.

Original language | English (US) |
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Pages (from-to) | 463-487 |

Number of pages | 25 |

Journal | Progress of Theoretical Physics |

Volume | 103 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2001 |

## ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)