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arXiv · hep-th/9204054

Heisenberg XXZ Model and Quantum Galilei Group

F. Bonechi·E. Celeghini·R. Giachetti·E. Sorace·M. Tarlini
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Abstract

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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F. Bonechi, E. Celeghini, R. Giachetti, E. Sorace, M. Tarlini. 1992-04-17. Heisenberg XXZ Model and Quantum Galilei Group. https://doi.org/10.1088/0305-4470%2F25%2F15%2F007

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