We show that a particular many-matrix model gives rise, upon hamiltoni
an reduction, to a multidimensional version of the Calogero-Sutherland
model and its spin generalizations. Some simple solutions of these mo
dels are demonstrated by solving the corresponding matrix equations. A
connection of this model to the dimensional reduction of Yang-Mills t
heories to 0 + 1-dimensions is pointed out. In particular, it is shown
that the low-energy dynamics of D0-branes in sectors with nontrivial
fermion content is that of spin-Calogero particles. (C) 1997 Elsevier
Science B.V.