Quantization of noncommutative completely integrable Hamiltonian systems

Details Quantization of noncommutative completely integrable Hamiltonian systems Quantization of noncommutative completely integrable Hamiltonian systems

2006-04-20

arxiv.org/abs/quant-ph/0604151v2

Physics Letters A, v.362 (2007) 138-142

Physics

Quantum Physics

11 pages, accepted for publication in Phys. Lett. A

Scientific paper

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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