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arxiv: hep-th/0006039 · v1 · submitted 2000-06-06 · ✦ hep-th · math-ph· math.MP· nlin.SI

Exact solutions of an elliptic Calogero--Sutherland model

classification ✦ hep-th math-phmath.MPnlin.SI
keywords ellipticmodelalgebraiccalculatedcalogero--sutherlandcasedescribingexact
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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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