Jack Polynomials and the MultiComponent CalogeroSutherland Model
Abstract
Using the ground state ψ_{0} of a multicomponent generalization of the CalogeroSutherland model as a weight function, orthogonal polynomials in the coordinates of one of the species are constructed. Using evidence from exact analytic and numerical calculations, it is conjectured that these polynomials are the Jack polynomials J_{κ (1+1/λ )} where λ is the coupling constant. The value of the normalization integral for ψ _{0J_κ (1+1/λ )} is conjectured, and some further related integrals are evaluated.
 Publication:

International Journal of Modern Physics B
 Pub Date:
 1996
 DOI:
 10.1142/S0217979296000179
 arXiv:
 arXiv:condmat/9509012
 Bibcode:
 1996IJMPB..10..427F
 Keywords:

 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 13 pages, latex, minor alterations before publication in Int. J. of Mod. Phys. B