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Quantization of noncommutative completely integrable Hamiltonian systems

G. Giachetta·L. Mangiarotti·G. Sardanashvily
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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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G. Giachetta, L. Mangiarotti, G. Sardanashvily. 2006-10-03. Quantization of noncommutative completely integrable Hamiltonian systems. https://doi.org/10.1016/j.physleta.2006.10.011

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