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Nonlinear Dynamics and Quantum Chaos: An Introduction: Graduate Texts in Physics

Autor Sandro Wimberger
en Limba Engleză Hardback – 27 mai 2014
The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.
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Specificații

ISBN-13: 9783319063423
ISBN-10: 3319063421
Pagini: 220
Ilustrații: XIII, 206 p. 75 illus., 68 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.45 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Graduate Texts in Physics

Locul publicării:Cham, Switzerland

Public țintă

Graduate

Cuprins

Introduction.- Fundamental terminology.- Complexity.-  Classical versus quantum dynamics.- Problems.-  References.- Dynamical systems.- Evolution law.- One-dimensional maps.- Problems.- References.- Nonlinear Hamiltonian systems.- Integrable examples.- Hamiltonian formalism.- Important techniques in the Hamiltonian formalism.- Integrable systems.- Non-integrable systems.- Perturbation of low-dimensional systems.- Canonical perturbation theory.- Transition to chaos in Hamiltonian systems.- Criteria for local and global chaos.- Appendix.- Problems.- References.- Aspects of quantum chaos.- Introductory remarks on quantum mechanics.- Semiclassical quantization of integrable systems.- Semiclassical description of non-integrable systems.- Wave functions in phase space.- Anderson and dynamical localization.- Universal level statistics.- Concluding remarks.- Appendix.- Problems.- References.- Index.

Recenzii

“This book is designed to introduce nonlinear dynamics and quantum chaos in a coherent and succinct presentation. It is aimed at advanced undergraduates and graduate students and is intended to serve as a textbook for a one-semester course. … this book is one of the few that treats the subject in the context of quantum mechanics with quantum chaos. Along the way it provides a modest number of exercises for the student as well as a good bibliography.” (William J. Satzer Jr., zbMATH, Vol. 1365.37001, 2017) 

Notă biografică

Prof. Sandro Wimberger Institut für Theoretische Physik Universität Heidelberg Heidelberg, Germany

Textul de pe ultima copertă

The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.

Caracteristici

Carefully selected problems set for each chapter The balance between classical and quantum part is a novel feature among textbooks addressing the same audience Endorsed by Giulio Casati, one of the leading experts of quantum chaos Includes supplementary material: sn.pub/extras