Direkt zum Inhalt | Direkt zur Navigation

Fachbereich Mathematik

Sektionen

Home > Arbeitsbereiche > Mathematische Physik > Personen > Stefan Teufel Dateien > Publikationen-Zusammenfassungen > Adiabatic perturbation theory in quantum dynamics
Benutzerspezifische Werkzeuge

Adiabatic perturbation theory in quantum dynamics

Stefan Teufel

Lecture Notes in Mathematics 1821
. Springer-Verlag, Berlin, Heidelberg, New York, 2003.
Adiabatic perturbation theory in quantum dynamics
[ Springer Webpage ]

Zusammenfassung

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.