ABSTRACT

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified w

chapter |14 pages

Introduction

part I|2 pages

Semiclassical Quantization

chapter 1|28 pages

Quantization and Microlocalization

chapter 2|70 pages

Quantization by the Wave Packet Transform

chapter 5|14 pages

The Schrödinger Equation

chapter 6|20 pages

The Maxwell Equations

chapter 7|22 pages

Equations with Trapping Hamiltonians

part II|2 pages

Quantization by the Method of Ordered Operators (Noncommutative Analysis)