Introduction to Semiclassical and Microlocal Analysis

This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical way and is mainly addressed to non-specialists in the subject. Both the standard Ci pseudodifferential calculus and the analytic microlocal analysis are developed, while the author replaces the delicate local theory with a more straightforward global theory. The book is based on lectures taught by the author over several years. Many exercises provide outlines of useful applications of the semi-classical theory and the only prerequisite required is a basic knowledge of the theory of distributions.