Deformation Quantization of the Isotropic Rotator

Abstract

We perform a deformation quantization of the classical isotropic rigid rotator. The resulting quantum system is not invariant under the usual $SU(2)\times SU(2)$ chiral symmetry, but instead $S{U}_{q^{-1}}(2)\times S{U}_q(2)$.

12pp, LATEX

Cited by in corpus (6)

• Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
• Origin of the quantum group symmetry in 3d quantum gravity
• $S{U}_q(2)$ Lattice Gauge Theory
• Local Observables in ${\mathrm{SU}}_q(2)$ Lattice Gauge Theory
• Hidden Quantum Group Symmetry in the Chiral Model
• Lie-Poisson Deformation of the Poincaré Algebra