Long Time Behaviour of Classical and Quantum Systems: Proceedings of the Bologna Aptex International Conference, Bologna, Italy, 13-17 September 1999

Long Time Behaviour of Classical and Quantum Systems: Proceedings of the Bologna Aptex International Conference, Bologna, Italy, 13-17 September 1999

By: Andre Martinez (editor), Sandro Graffi (editor)Hardback

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Description

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.

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Contents

Return to equilibrium in classical and quantum systems, C. Liverani; quantum resonances and trapped trajectories, J. Sjostrand; return to thermal equilibrium in quantum statistical mechanics, V. Bach; small oscillations in some nonlinear PDEs, D. Bambusi and S. Paleari; the semi-classical Van-Vleck formula -application to the Aharonov-Bohm effect, J.-M. Bily and D. Robert; fractal dimensions and quantum evolution associated with sparse potential Jacobi matrices, J.-M. Combes and G. Mantica; infinite step billiards, M.D. Esposti; semiclassical expansion for the thermodynamic limit of the ground state energy of Kac's operator, B. Halffer and T. Ramond; asymptotics of scattering poles for two strictly convex obstacles, M. Ikawa; parabolic dynamical systems and inducing, S. Isola; QFT for scalar particles in external fields on Riemannian manifolds, H. Isozaki; existence and Born-Oppenheimer asymptotics of the total scattering cross-section in ion-atom collisions, T. Jecko et al; on asymptotic perturbation theory for quantum mechanics, G. Nenciu; destruction of the beating effect in a periodically driven double-well, A. Sacchetti; Berezin-Toeplitz quantization and Berzein transform, M. Schlichenmaier.

Product Details

  • publication date: 10/04/2001
  • ISBN13: 9789810245559
  • Format: Hardback
  • Number Of Pages: 300
  • ID: 9789810245559
  • ISBN10: 9810245556

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