Quantization of noncommutative completely integrable Hamiltonian systems
Quantum Physics
2015-06-26 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/0604151,
title = {Quantization of noncommutative completely integrable Hamiltonian systems},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:quant-ph/0604151},
year = {2015}
}
Comments
11 pages, accepted for publication in Phys. Lett. A