ENGLISH

Adiabatic Perturbation Theory in Quantum Dynamics

By Stefan Teufel

Book information

Publisher
Springer Berlin Heidelberg
Year
2008
ISBN
3540407235, 9783540407232
Open Library ID
OL9770052M
Language
english
Format
PDF
Filesize
2 MB (2246049 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
238\238
Time added
2011-01-06 10:13:16

Description

Separation of scales plays a fundamental role in the understanding of the dynamical behaviour of complex systems in physics and other natural sciences. A prominent example is the Born-Oppenheimer approximation in molecular dynamics. This book focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED.

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