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Quantization of classical integrable systems. Part II: quantization of functions on Poisson manifolds

In a previous work we have introduced the concept of quasi-integrable quantum system. In the present one we determine sufficient conditions under which, given an integrable classical system, it is possible to construct a quasi-integrable quantum system by means of a quantization procedure based on the symmetrized product of operators. This procedure will be applied to concrete classes of integrable systems in two following papers.

preprint2010arXivOpen access
M. MarinoN. N. Nekhoroshev
math-phmath.MP
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M. MarinoN. N. Nekhoroshev

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