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

M. Marino; N. N. Nekhoroshev

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

Mathematical Physics 2010-01-27 v1 math.MP

Authors: M. Marino , N. N. Nekhoroshev

Abstract

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.

Keywords

quantization integrable systems poisson manifolds quasi-integrable quantum system symmetrized product deformation quantization

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@article{arxiv.1001.4701,
  title  = {Quantization of classical integrable systems. Part II: quantization of functions on Poisson manifolds},
  author = {M. Marino and N. N. Nekhoroshev},
  journal= {arXiv preprint arXiv:1001.4701},
  year   = {2010}
}

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23 pages

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

Abstract

Keywords

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