Generalized Calogero-Sutherland systems from many-matrix models

Details Generalized Calogero-Sutherland systems from many-matrix models Generalized Calogero-Sutherland systems from many-matrix models

1998-06-23

arxiv.org/abs/hep-th/9806189v1

Nucl.Phys. B546 (1999) 495-502

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, no figures

Scientific paper

10.1016/S0550-3213(99)00112-1

We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a model involving many unitary matrices. The resulting systems consist of particles on the circle with internal degrees of freedom, coupled through modifications of the inverse-square potential. The coupling involves SU(M) non-invariant (anti)ferromagnetic interactions of the internal degrees of freedom. The systems are shown to be integrable and the spectrum and wavefunctions of the quantum version are derived.

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