Quantization of noncommutative completely integrable Hamiltonian systems
arXiv:quant-ph/0604151 · doi:10.1016/j.physleta.2006.10.011
Abstract
Integrals of motion of a Hamiltonian system need not be commutative. The classical Mishchenko-Fomenko theorem enables one to quantize a noncommutative completely integrable Hamiltonian system around its invariant submanifold as an abelian completely integrable Hamiltonian system.
11 pages, accepted for publication in Phys. Lett. A