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