On the explicit solutions of the elliptic Calogero system
نویسنده
چکیده
Let q 1 , q 2 , ..., q N be the coordinates of N particles on the circle, interacting with the integrable potential N j<k ℘(q j − q k), where ℘ is the Weierstrass elliptic function. We show that every symmetric elliptic function in q 1 , q 2 , ..., q N is a meromorphic function in time. We give explicit formulae for these functions in terms of genus N − 1 theta functions.
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تاریخ انتشار 1999