Homogenization in Time of Singularly Perturbed Mechanical Systems [electronic resource] / by Folkmar Bornemann.
Material type: TextSeries: Lecture Notes in Mathematics ; 1687Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998Description: XIV, 158 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540697848Subject(s): Mathematics | Chemistry -- Mathematics | Differentiable dynamical systems | Numerical analysis | Physics | Engineering | Mathematics | Dynamical Systems and Ergodic Theory | Complexity | Numerical Analysis | Math. Applications in ChemistryAdditional physical formats: Printed edition:: No titleDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1829 |
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.
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