Homogenization in time of singularly perturbed mechanical systems
Author(s)
Bibliographic Information
Homogenization in time of singularly perturbed mechanical systems
（Lecture notes in mathematics, 1687）
Springer, c1998
Available at / 86 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1687RM980707
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:515/B6452070443611
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Note
Includes bibliographical references (p. [145]-149) and index
Description and Table of Contents
Description
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.
Table of Contents
Homogenization of natural mechanical systems with a strong constraining potential.- Applications.- Adiabatic results in quantum theory and quantum-classical coupling.
by "Nielsen BookData"