Quantum Galilei Group as Symmetry of Magnons

Details Quantum Galilei Group as Symmetry of Magnons Quantum Galilei Group as Symmetry of Magnons

1992-03-18

arxiv.org/abs/hep-th/9203048v1

Phys.Rev. B46 (1992) 5727-5730

Physics

High Energy Physics

High Energy Physics - Theory

10 pags. 0 figs

Scientific paper

10.1103/PhysRevB.46.5727

Inhomogeneous quantum groups are shown to be an effective algebraic tool in the study of integrable systems and to provide solutions equivalent to the Bethe ansatz. The method is illustrated on the 1D Heisenberg ferromagnet whose symmetry is shown to be the quantum Galilei group Gamma_q(1) here introduced. Both the single magnon and the s=1/2 bound states of n-magnons are completely described by the algebra.

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