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We establish a one-to-one correspondance between the ''composite particles''with $N$ particles and the Young tableaux with at most $N$ rows. We apply thiscorrespondance to the models of Calogero-Sutherland and Ruijsenaars-Schneiderand we obtain a momentum space representation of the ''composite particles'' interms of creation operators attached to the Young tableaux. Using the techniqueof bosonisation, we obtain a position space representation of the ''compositeparticles'' in terms of products of vertex operators. In the special case wherethe ''composite particles'' are bosons and if we add one extra quasiparticle orquasihole, we construct the ground state wave functions corresponding to theJain series $\nu =p/(2np\pm 1) $ of the fractional quantum Hall effect.Comment: latex calcomp2.tex, 5 files, 30 pages [SPhT-T99/080], submitted to J.  Math. Phy

“Composite particles” and the eigenstates of Calogero–Sutherland and Ruijsenaars–Schneider