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arxiv: 1502.07506 · v1 · pith:MZS6BO23new · submitted 2015-02-26 · 🧮 math-ph · math.DG· math.MP· math.QA

Quantization of Poisson-Hamiltonian systems

classification 🧮 math-ph math.DGmath.MPmath.QA
keywords quantizationhamiltonianpoissonsystemscanonicalconceptcontextdeformation
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In this paper we introduce the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson context, using formal deformation quantization and quantum group theories.

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