Analytical solutions for the Lipkin-Meshkov-Glick (LMG) model for some nont
rivial limits are derived by using an infinite-dimensional algebraic approa
ch based on the Bethe ansatz. Analytical expressions for eigenvalues and th
e corresponding eigenfunctions of the Hamiltonian are obtained. Solutions f
or the associated Bethe ansatz equations are given. (C) 1999 Published by E
lsevier Science B.V. All rights reserved.