## Chaos and Quantum Chaos: Proceedings of the Eighth Chris Engelbrecht Summer School on Theoretical Physics, Held at Blydepoort, Eastern Transvaal, South Africa, 13-24 January 1992This book covers both experimental and theoretical aspects of nanoscale light scattering and surface roughness. Topics include: spherical particles located on a substrate; surface and buried interface roughness; surface roughness of polymer thin films; magnetic and thermal fluctuations at planar surfaces; speckle patterns; scattering of electromagnetic waves from a metal; multiple wavelength light scattering; nanoroughness standards. |

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### Contents

The Problem of Quantum Chaos | 1 |

Asymptotic Statistical Properties of Classical Dynamical | 9 |

The Correspondence Principle and Quantum Chaos | 17 |

Copyright | |

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### Common terms and phrases

10%-thresholds 3d classical amplitude Anderson localization approximation asymptotic average billiard calculations cavity channels chaotic scattering chaotic systems condition correlation corresponding curve defined density dependence diffusion discussed disordered dissipation distribution dynamical localization eigenstates eigenvalues electron energy ensemble ergodic example experimental experiments exponential expression factor field finite fixed point function Hamiltonian hydrogen atoms initial integral ionization iteration Kepler kicked rotor lectures Lett limit linear localization length Lyapunov exponent matrix microwave ionization momentum motion n-cutoff nonlinear obtained oscillations parameter periodic orbits perturbation phase space Phys physical problem quantal quantization quantum chaos quantum mechanics quantum number quantum system quasienergy random random matrix theory regime region resonances Rydberg atoms scaled frequency secular equation semi-classical shown Smilansky spectral spectrum stable standard map statistical stochastic theoretical theory trajectories transition unstable unstable manifolds variables wave packet wavefunction width WKB approximation