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Exact solutions of an elliptic Calogero--Sutherland model

D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez

hep-tharXiv:hep-th/0006039

Abstract

A model describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is partially solved in the quantum case in a totally algebraic way. As an example, the ground state and the lowest excitations are calculated explicitly for N=2.

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