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AuthorBornemann, Folkmar. author
TitleHomogenization in Time of Singularly Perturbed Mechanical Systems [electronic resource] / by Folkmar Bornemann
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1998
Connect tohttp://dx.doi.org/10.1007/BFb0092091
Descript XIV, 158 p. online resource

SUMMARY

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 Numerical Analysis Math. Applications in Chemistry



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