In the last decade the understanding of the relations between classical and quantum mechanics has advanced tremendously and the following broad themes are dealt with in this book:-

• random matrices: a resurgence of an old theory brought in from nuclear physics, now the standard for analysing "signatures" of classical chaos in quantum systems;

• the complex quantum behaviour of driven Hamiltonian systems and localization phenomena;

• chaos in scattering systems and the properties of S-matrices;

• spectra of quantum systems whose classical analogues are the geodesic flows on negatively curved compact manifolds;

• the wealth of properties of wave functions for classically chaotic systems;

• the rise and growth of the concept of chaos in all sectors of "physics of microscopic media": nuclear, atomic, molecular, solid-state physics.

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