Normalization of the wavwfunction for the Calogero-Sutherland model with internal degrees of freedom

Details Normalization of the wavwfunction for the Calogero-Sutherland model with internal degrees of freedom Normalization of the wavwfunction for the Calogero-Sutherland model with internal degrees of freedom

1994-12-13

arxiv.org/abs/cond-mat/9412058v1

Physics

Condensed Matter

16 pgs, latex, no figures, submitted Int. J. of Mod. Phys. B

Scientific paper

The exact normalization of a multicomponent generalization of the ground state wavefunction of the Calogero-Sutherland model is conjectured. This result is obtained from a conjectured generalization of Selberg's $N$-dimensional extension of the Euler beta integral, written as a trigonometric integral. A new proof of the Selberg integral is given, and the method is used to provide a proof of the mulicomponent generalization in a special two-component case.

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