Introduction |
The Mechanics of Lagrange |
The Mechanics of Hamilton and Jacobi |
Integrable Systems |
The Three-Body Problem: Moon-Earth-Sun |
Three Methods of Section |
Periodic Orbits |
The Surface of Solution |
Models of the Galaxy and of Small Molecules |
Soft Chaos and the KAM Theorem |
Entropy and Other Measures of Chaos |
The Anisotropic Kepler Problem |
The Transition From Classical to Quantum Mechanics |
The New World of Quantum Mechanics |
The Quantization of Integrable Systems |
Wave Functions in Classically Chaotic Systems |
The Energy Spectrum of a Classically Chaotic System |
The Trace Formula |
The Diamagnetic Kepler Problem |
Motion on a Surface of Constant Negative Curvature |
Scattering Problems, Coding and Multifractal Invariant Measures |
References |
Index |
Introduction |
The Mechanics of Lagrange |
The Mechanics of Hamilton and Jacobi |