Format:
Online-Ressource (VI, 242 p, online resource)
ISBN:
9783540451716
,
3540407235
Series Statement:
Lecture Notes in Mathematics 1821
Content:
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
Additional Edition:
ISBN 9783540407232
Additional Edition:
Erscheint auch als Druck-Ausgabe Teufel, Stefan, 1970 - Adiabatic perturbation theory in quantum dynamics Berlin : Springer, 2003 ISBN 3540407235
Language:
English
Subjects:
Mathematics
Keywords:
Quantenmechanisches System
;
Adiabatischer Limes
URL:
Volltext
(lizenzpflichtig)
Author information:
Teufel, Stefan 1970-
