Poisson Lie Group Symmetries for the Isotropic Rotator

Details Poisson Lie Group Symmetries for the Isotropic Rotator Poisson Lie Group Symmetries for the Isotropic Rotator

1993-10-21

arxiv.org/abs/hep-th/9310145v1

Int. J. Mod. Phys. A10 (1995) 99

Physics

High Energy Physics

High Energy Physics - Theory

22pp , Latex file

Scientific paper

We find a new Hamiltonian formulation of the classical isotropic rotator where left and right $SU(2)$ transformations are not canonical symmetries but rather Poisson Lie group symmetries. The system corresponds to the classical analog of a quantum mechanical rotator which possesses quantum group symmetries. We also examine systems of two classical interacting rotators having Poisson Lie group symmetries.

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