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arXiv · 1704.06686

Integrable systems, symmetries and quantization

Daniele Sepe·San Vu Ngoc
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Abstract

These notes correspond to a mini-course given at the Poisson 2016 conference in Geneva. Starting from classical integrable systems in the sense of Liouville, we explore the notion of non-degenerate singularity and expose recent research in connection with semi-toric systems. The quantum and semiclassical counterpart will also be presented, in the viewpoint of the inverse question: from the quantum mechanical spectrum, can you recover the classical system?

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Daniele Sepe, San Vu Ngoc. 2017-10-16. Integrable systems, symmetries and quantization. https://doi.org/10.1007/s11005-017-1018-z

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