Gómez-Ullate Otaiza, DavidGonzález López, ArtemioRodríguez González, Miguel Ángel2023-06-202023-06-202001-05-280370-269310.1016/S0370-2693(01)00573-1https://hdl.handle.net/20.500.14352/59631©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.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.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttp://dx.doi.org/10.1016/S0370-2693(01)00573-1http://www.sciencedirect.comopen access51-73Many-body problemsFractional statisticsIntegrable systemsOne-dimensionGround-statealgebrasOperatorChainFieldFísica-Modelos matemáticosFísica matemática