Long Time Behaviour of Classical and Quantum Systems: Proceedings of the Bologna Aptex International Conference, Bologna, Italy 13-17 September 1999 (Series on Concrete and Applicable Mathematics 1)

This book is centred on the two minicourses conducted by C. Liverani (Rome) and J. Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques. This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques. This text is centred on two minicourses on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis. The other contributions cover topics such as scattering theory, dynamical localization, quantum chaos, and more. The convergence to equilibrium is an ubiquitous phenomena that surrounds us, yet it is hardly well understood.