Some avatars of the correspondence principle in semi-classical analysis

The correspondence principle, as stated by Niels Bohr in 1923, is at the root of the traditional results in semi-classical analysis. It offers a natural insight into the world of semi- classical pseudodifferential operators, Egorov Theorem, coherent states, Wigner measures, etc… The aim of this talk will be to present this general setting and explain how recent re- sults of semi-classical analysis express in that frame.