Integrable systems, symmetries and quantization
Symplectic Geometry
2017-11-22 v2 Spectral Theory
Exactly Solvable and Integrable Systems
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?
Cite
@article{arxiv.1704.06686,
title = {Integrable systems, symmetries and quantization},
author = {Daniele Sepe and San Vu Ngoc},
journal= {arXiv preprint arXiv:1704.06686},
year = {2017}
}
Comments
91 pages, 4 figures