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

2010/01/26 by Massimo Marino, Marino, M., N. N. Nekhoroshev +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1001.4701

openalex publication_date 2010/01/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Quantum mechanics as a statistical theory

Related

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