A QUANTUM MANY-BODY PROBLEM IN 2 DIMENSIONS - GROUND-STATE

We obtain the exact ground state for the Calogero-Sutherland problem i n arbitrary dimensions. In the special case of two dimensions, we show that the problem is connected to the random matrix problem for comple x matrices, provided the strength of the inverse-square interaction g = 2. In the thermodynamic Limit, we obtain the ground state energy and the pair-correlation function and show that in this case there is no long-range order. (C) 1997 Published by Elsevier Science B.V.