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Homogenization in Time of Singularly Perturbed Mechanical Systems

  • Book
  • © 1998

Overview

Authors:
  1. Folkmar Bornemann
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1687)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Folkmar Bornemann
    Pages 1-16

  3. Homogenization of natural mechanical systems with a strong constraining potential

    • Folkmar Bornemann
    Pages 17-72

  4. Applications

    • Folkmar Bornemann
    Pages 73-88

  5. Adiabatic results in quantum theory and quantum-classical coupling

    • Folkmar Bornemann
    Pages 89-114

  6. Back Matter

    Pages 115-156
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Keywords

About this book

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.

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