Quantization of noncommutative completely integrable Hamiltonian systems
  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. 
G.Giachetta, L.Mangiarotti, G.Sardanashvily