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 p
otential, it is shown that a finite number of eigenfunctions and eigenvalue
s of the model can be exactly. computed in an algebraic way. (C) 2001 Elsev
ier Science B.V. All rights reserved.