Exact Solutions of Generalized Calogero-sutherland Models

Using a collective field method, we obtain explicit solutions of the generalized CalogeroSutherland models that are characterized by the roots of the classical groups BN and CN . Starting from the explicit wave functions for AN−1 type expressed in terms of the singular vectors of the WN algebra, we give a systematic method to construct wave functions and derive energy eigenvalues for other types of theories.