Geometric and topological aspects of slow and fast coupled dynamical systems in quantum and classical dynamics

Language: Author: Frédéric FAURE Url: http://ipht.cea.fr/Phocea/file.php?class=std&file=Ast/file_188_5_.pdf Format: Pdf Year: 2002 Category: Advanced Quantum Mechanics Pages: 94 Clicks: 1549 Description Contents: introduction and overview; Berry's connection and Berry's phase in quantum mechanics; The semi-classical limit; topological aspect in the semi-quantum model of slow-fast coupled systems; topoligical aspects in the classical model of slow-fast coupled systems; topological Chern indices and the integer quantum hall effect. Similar Books Lectures on Advanced Quantum Mechanics Lectures on scattering theory Berry\'s Phase and Geometric Quantum Distance: Macroscopic Polarization and Electron Localization Lectures on Atomic physics Advanced Quantum Mechanics Quantum Physics Advanced Quantum mechanics Quantum entanglement Compléments de mécanique quantique Mécanique quantique avancée Atomes et Lumiére Interaction Matiére Rayonnement New Insights on Time-Symmetry in Quantum Mechanics Entanglement detection Guide to Mathematical Concepts of Quantum Theory Title: Cold and Ultracold Molecules: Science, Technology, and Applications Introduction to the Time Evolution of Open Quantum Systems Quantum transients Decoherence: Basic Concepts and Their Interpretation Quantum walks: a comprehensive review Theoretical Concepts of Quantum Mechanics Quantum Walks From Classical to Quantum Shannon Theory Understanding quantum measurement from the solution of dynamical models Quantum models of classical world The second quantization method for indistinguishable particles Quantum Adiabatic Anholonomy Berry and Pancharatnam Topological Phases of Atomic and Optical Systems Lecture Script: Introduction to Computational Quantum Mechanics The quantum-to-classical transition and decoherence Quantum Hamiltonian Complexity