Contents Preface xi Chapter 1. Introduction 1 §1.1. Basic themes 1 §1.2. Classical and quantum mechanics 3 §1.3. Overview 5 §1.4. Notes 9 Part 1. BASIC THEORY Chapter 2. Symplectic geometry and analysis 13 §2.1. Flows 13 §2.2. Symplectic structure on R2n 14 §2.3. Symplectic mappings 16 §2.4. Hamiltonian vector fields 20 §2.5. Lagrangian submanifolds 23 §2.6. Notes 26 Chapter 3. Fourier transform, stationary phase 27 §3.1. Fourier transform on S 27 §3.2. Fourier transform on S 35 §3.3. Semiclassical Fourier transform 38 §3.4. Stationary phase in one dimension 40 v
Previous Page Next Page