An explicit solution of the (quantum) elliptic Calogero-Sutherland model

Details An explicit solution of the (quantum) elliptic Calogero-Sutherland model An explicit solution of the (quantum) elliptic Calogero-Sutherland model

2004-07-21

arxiv.org/abs/math-ph/0407050v3

Physics

Mathematical Physics

16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia, Italy) v2 and v3: minor corrections

Scientific paper

We present explicit formulas for the eigenvalues and eigenfunctions of the
elliptic Calogero-Sutherland (eCS) model as formal power series to all orders
in the nome of the elliptic functions, for arbitrary values of the (positive)
coupling constant and particle number. Our solution gives explicit formulas for
an elliptic deformation of the Jack polynomials.

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