This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers
CONTENT
Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling
Mathematics
Chemometrics
Mathematical analysis
Analysis (Mathematics)
Dynamics
Ergodic theory
Integral equations
Numerical analysis
Statistical physics
Dynamical systems
Mathematics
Analysis
Integral Equations
Dynamical Systems and Ergodic Theory
Statistical Physics Dynamical Systems and Complexity
