Analytical solutions for the LMG model

Feng Pan, Louisiana State University
J. P. Draayer, Louisiana State University


Analytical solutions for the Lipkin-Meshkov-Glick (LMG) model for some nontrivial limits are derived by using an infinite-dimensional algebraic approach based on the Bethe ansatz. Analytical expressions for eigenvalues and the corresponding eigenfunctions of the Hamiltonian are obtained. Solutions for the associated Bethe ansatz equations are given. © 1999 Published by Elsevier Science B.V. All rights reserved.