arXiv:cond-mat/9408042 · Modern Physics Letters B
INTEGRATION FORMULAS AND EXACT CALCULATIONS IN THE CALOGERO–SUTHERLAND MODEL
Peter J. Forrester
Abstract
Some integration formulas which either occur or are implicit in Ha's recent exact calculation of some correlations in the Calogero–Sutherland model are discussed. These integration formulas include the calculation of the inner product <0|ρ(0)|κ> between the density operator acting on an excited state and the ground state, and a generalization of the Selberg integral due to Dotsenko and Fateev.