EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
Translationally invariant symmetric polynomials as coordinates for N-body problems with identical particles are proposed. It is shown that in those coordinates the Calogero and Sutherland N-body Hamiltonians, after appropriate gauge transformations, can be presented as a quadratic polynomial in the generators of the algebra sl N in finitedimensional degenerate representation. …