Exact solutions of a new elliptic Calogero-Sutherland model
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2001
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Elsevier Science BV
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Abstract
A quantum Hamiltonian describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is introduced. For a discrete set of values of the strength of the external potential, it is shown that a finite number of eigenfunctions and eigenvalues of the model can be exactly. computed in an algebraic way.
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©2001 Elsevier Science B.V. All rights reserved.
The authors gratefully acknowledge the partial financial support of the DGES under grant PB98-0821. They would also like to thank A.M. Perelomov and O. Ragnisco for several useful conversations.