Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-05
Prog.Theor.Phys. 103 (2000) 463-487
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e, 31 pages, no figures
Scientific paper
10.1143/PTP.103.463
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.
Bordner Andrew J.
Manton Nicholas S.
Sasaki Rei
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