Calogero-Moser models. V - Supersymmetry and quantum Lax pair -

Andrew J. Bordner, Nicholas S. Manton, Ryu Sasaki

Research output: Contribution to journalArticlepeer-review

51 Scopus citations


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 languageEnglish (US)
Pages (from-to)463-487
Number of pages25
JournalProgress of Theoretical Physics
Issue number3
StatePublished - Mar 2001

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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