Integration formulas and exact calculations in the Calogero-Sutherland model

Details Integration formulas and exact calculations in the Calogero-Sutherland model Integration formulas and exact calculations in the Calogero-Sutherland model

1994-08-15

arxiv.org/abs/cond-mat/9408042v2

Physics

Condensed Matter

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

Scientific paper

10.1142/S0217984995000346

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 $<0|\rho (0)|\kappa>$ 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.

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