Homogenization in Time of Singularly Perturbed Mechanical Systems. 1st ed. 1998

種類:

電子ブック

責任表示:

by Folkmar Bornemann

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998

著者名:

• Bornemann, Folkmar.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1687

ISBN:

9783540697848 [3540697845]    

注記:

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

ローカル注記:

学内専用E-BOOKS (local access only)