paper

Crochets de Poisson, theories de jauge et quantification

arXiv:1204.4280

Abstract

We present a study of constrained mechanical systems and of their quantisation, emphasising the importance of the role played by Poisson brackets in the study of gauge theories.

13 pages, in French, to appear in "Simeon-Denis Poisson: les mathematiques au service de la science", ed. Yvette Kosmann-Schwarzbach, Editions de l'Ecole Polytechnique 2012