Classical and quantum dynamics
from classical paths to path integrals
by Walter Dittrich
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.
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Subjects
Hamiltonian systems, Nonlinear theories, Path integrals, Quantum theory, Physics, Pfadintegral, Theorie quantique, Niet-lineaire theorieen, Theoretische Mechanik, Hamilton-vergelijkingen, Integrales de chemin, Hamilton-Formalismus, Mechanik, Quantenmechanik, Kwantummechanica, Pad-integralen, Theories non lineaires, Dynamique, Globalanalizis, Perturbation (theorie quantique), Systemes hamiltoniens, Dynamical Systems and Complexity Statistical Physics, Spintronics Quantum Information Technology
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Includes bibliographical references (p. [337]-338) and index.
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Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text. This second edition has been enlarged by a new chapter on topological phases in planar electrodynamics and a discussion of the Aharonov-Bohm effect.
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| September 28, 2024 | Edited by MARC Bot | import existing book |
| January 11, 2020 | Edited by ImportBot | import existing book |
| June 29, 2019 | Edited by MARC Bot | import existing book |
| December 4, 2010 | Edited by Open Library Bot | Added subjects from MARC records. |
| December 10, 2009 | Created by WorkBot | add works page |