English

Poisson Lie Group Symmetries for the Isotropic Rotator

High Energy Physics - Theory 2015-06-26 v1

Abstract

We find a new Hamiltonian formulation of the classical isotropic rotator where left and right SU(2)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.

Keywords

Cite

@article{arxiv.hep-th/9310145,
  title  = {Poisson Lie Group Symmetries for the Isotropic Rotator},
  author = {G. Marmo and A. Simoni and A. Stern},
  journal= {arXiv preprint arXiv:hep-th/9310145},
  year   = {2015}
}

Comments

22pp , Latex file