Classical and Quantum Dynamics
from Classical Paths to Path Integrals
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Beschreibung
In the past 10 to 15 years, the quantum leap in
understanding of nonlinear dynamics has radically changed
the frame of reference of physicists contemplating such
systems. This book treats classical and quantum mechanics
using an approach as introduced by nonlinear Hamiltonian
dynamics and path integral methods. It is written for
graduate students who want to become familiar with the more
advancedcomputational strategies in classical and quantum
dynamics. Therefore, worked examples comprise a large part
of the text. While the first half of the book lays the
groundwork for a standard course, the second half, with its
detailed treatment of the time-dependent oscillator,
classical and quantum Chern-Simons mechanics, the Maslov
anomaly and the Berry phase, willacquaint the reader with
modern topological methods that have not as yet found their
way into the textbook literature.
This graduate textbook in classical and quantum dynamics is written for (theoretical) physicists and applied mathematicians. It emphasizes advanced computational methods not usually found in standard textbooks to treat nonlinear systems.
Autor*in
Walter Dittrich