TY  - BOOK
AU  - Bornemann,Folkmar
ED  - SpringerLink (Online service)
TI  - Homogenization in Time of Singularly Perturbed Mechanical Systems
T2  - Lecture Notes in Mathematics,
SN  - 9783540697848
AV  - QA313 
U1  - 515.39 23
PY  - 1998///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Chemistry
KW  - Differentiable dynamical systems
KW  - Numerical analysis
KW  - Physics
KW  - Engineering
KW  - Dynamical Systems and Ergodic Theory
KW  - Complexity
KW  - Numerical Analysis
KW  - Math. Applications in Chemistry
N1  - Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0092091
ER  -