Abstract
The joint eigenfunctions of a quantum completely integrable system can naturally be described in terms of products of Lame polynomials. In this paper, we compute the limiting pair correlation distribution for the zeros of Lame polynomials in various thermodynamic, asymptotic regimes. We give results both in the mean and pointwise, for an asymptotically full set of values of the parameters α0,. . .,αN.
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