SINGLE-PARTICLE GREENS-FUNCTIONS OF THE CALOGERO-SUTHERLAND MODEL AT COUPLINGS LAMBDA=1 2, 1, AND 2/

At coupling strengths lambda=1/2, 1, or 2, the Calogero-Sutherland mod el (CSM) is related to Brownian motion in a Wigner-Dyson random matrix ensemble with orthogonal, unitary, or symplectic symmetry. Using this relation in conjunction with superanalytic techniques developed in me soscopic conductor physics, we derive an exact integral representation for the CSM two-particle Green's function in the thermodynamic limit. Simple closed expressions for the single-particle Green's functions a re extracted by separation of points. For the advanced part, where a p article is added to the ground state and later removed, a sum of two c ontributions is found: the expected one, with just one particle excita tion present, plus an extra term arising from fractionalization of the single particle into a number of elementary particle and hole excitat ions.