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)