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

by Graffi, Sandro

• ISBN13: 9789810245559
• ISBN10: 9810245556
• Format: Hardcover
• Copyright: 2001-04-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the Bologna APTEX International Conference on Long Time Behavior of Classical and Quantum Systems, held in Bologna, Italy, September 13-17, 1999. Topics range from asymptotic perturbation theory for quantum mechanics to infinite step billiards.

Table of Contents

Foreword	v
List of Participants	vii
Return to Equilibrium in Classical and Quantum Systems	1	(32)
Carlangelo Liverani
Quantum Resonances and Trapped Trajectories	33	(29)
Johannes Sjostrand
Return to Thermal Equilibrium in Quantum Statistical Mechanics	62	(11)
Volker Bach
Small Oscillations in Some Nonlinear PDE's	73	(16)
Dario Bambusi
Simone Paleari
The Semi-Classical Van-Vleck Formula. Application to the Aharonov-Bohm Effect	89	(18)
Jean-Marie Bily
Didier Robert
Fractal Dimensions and Quantum Evolution Associated with Sparse Potential Jacobi Matrices	107	(17)
Jean-Michel Combes
Giorgio Mantica
Infinite Step Billiards	124	(16)
Mirko Degli Esposti
Semiclassical Expansion for the Thermodynamic Limit of the Ground State Energy of Kac's Operator	140	(31)
Bernard Helffer
Thierry Ramond
Asymptotics of Scattering Poles for Two Strictly Convex Obstacles	171	(17)
Mitsuru Ikawa
Parabolic Dynamical Systems and Inducing	188	(11)
Stefano Isola
QFT for Scalar Particles in External Fields on Riemannian Manifolds	199	(21)
Hiroshi Isozaki
Existence and Born-Oppenheimer Asymptotics of the Total Scattering Cross-Section in Ion-Atom Collisions	220	(18)
Thierry Jecko
Markus Klein
Xue Ping Wang
On Asymptotic Perturbation Theory for Quantum Mechanics	238	(19)
Gheorghe Nenciu
Destruction of the Beating Effect in a Periodically Driven Double-Well	257	(14)
Andrea Sacchetti
Berezin-Toeplitz Quantization and Berezin Transform	271
Martin Schlichenmaier