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Article Dans Une Revue Letters in Mathematical Physics Année : 2018

Integrable systems, symmetries and quantization

Résumé

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?

Dates et versions

hal-01536660 , version 1 (12-06-2017)

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Daniele Sepe, San Vu Ngoc. Integrable systems, symmetries and quantization. Letters in Mathematical Physics, 2018, 108 (3), pp.499-571. ⟨10.1007/s11005-017-1018-z⟩. ⟨hal-01536660⟩
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