Exactly solvable gl(m/n) Bose-Fermi systems

Feng Pan, Liaoning Normal University
Lian Rong Dai, Liaoning Normal University
J. P. Draayer, Louisiana State University


A simple SUSY Bose-Fermi Hamiltonian and a class of hard-core Bose-Fermi Hamiltonians with high order terms constructed by using the gl(m/n) generators are shown to be exactly solvable. Excitation energies and corresponding wavefunctions are obtained by using a simple algebraic Bethe ansatz.