Author	Bornemann, Folkmar. author
Title	Homogenization in Time of Singularly Perturbed Mechanical Systems [electronic resource] / by Folkmar Bornemann
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1998
Connect to	http://dx.doi.org/10.1007/BFb0092091
Descript	XIV, 158 p. online resource

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

Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling

1. Mathematics
2. Chemometrics
3. Mathematical analysis
4. Analysis (Mathematics)
5. Dynamics
6. Ergodic theory
7. Integral equations
8. Numerical analysis
9. Statistical physics
10. Dynamical systems
11. Mathematics
12. Analysis
13. Integral Equations
14. Dynamical Systems and Ergodic Theory
15. Statistical Physics
16. Dynamical Systems and Complexity
17. Numerical Analysis
18. Math. Applications in Chemistry