Heisenberg XXZ Model and Quantum Galilei Group

Details Heisenberg XXZ Model and Quantum Galilei Group Heisenberg XXZ Model and Quantum Galilei Group

1992-04-17

arxiv.org/abs/hep-th/9204054v1

J.Phys. A25 (1992) L939-L943

Physics

High Energy Physics

High Energy Physics - Theory

(pag. 10)

Scientific paper

10.1088/0305-4470/25/15/007

The 1D Heisenberg spin chain with anisotropy of the XXZ type is analyzed in terms of the symmetry given by the quantum Galilei group Gamma_q(1). We show that the magnon excitations and the s=1/2, n-magnon bound states are determined by the algebra. Thus the Gamma_q(1) symmetry provides a description that naturally induces the Bethe Ansatz. The recurrence relations determined by Gamma_q(1) permit to express the energy of the n-magnon bound states in a closed form in terms of Tchebischeff polynomials.

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