Towards semi-classical analysis for sub-elliptic operators

Abstract

We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators. In particular, we give an overview of pseudo-differential calculi recently defined on nilpotent Lie groups as well as of the notion of quantum limits in the Euclidean and nilpotent cases.

Keywords

• analysis on nilpotent lie groups
• evolution of solutions to the schrodinger equation
• micro-local and semi-classical analysis for sub-elliptic operators
• abstract harmonic analysis
• c*-algebra theory