Adiabatic Perturbation Theory in Quantum Dynamics
Edition: 1 edition
Publisher: Springer
Published: November 5, 2003
Language: eng
Format: Paperback
Number of pages: 236
ISBN-13: 9783540407232
Subjects: Mathematics; Science/Mathematics; Physics; Science; Mathematical Physics; Pseudodifferential Operators; Quantum mechanics; Science / Mathematical Physics; adiabatic limit; semiclassical limit; Perturbation (Quantum dynamics); Quantum Theory; Perturbation (Quantum dynamics
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.
Notes: Lecture Notes in Mathematics