English

Integration formulas and exact calculations in the Calogero-Sutherland model

Condensed Matter 2009-10-22 v2

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 <0ρ(0)κ><0|\rho (0)|\kappa> 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.

Keywords

Cite

@article{arxiv.cond-mat/9408042,
  title  = {Integration formulas and exact calculations in the Calogero-Sutherland model},
  author = {P. J. Forrester},
  journal= {arXiv preprint arXiv:cond-mat/9408042},
  year   = {2009}
}

Comments

12 pgs (one fig. not included), latex, some corrections made before publication in Lett. Mod. Phys. B