Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos
Title Nonlinear Dynamics and Quantum Chaos PDF eBook
Author Sandro Wimberger
Publisher Springer
Pages 215
Release 2014-05-13
Genre Science
ISBN 331906343X

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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.

Quantum Chaos

Quantum Chaos
Title Quantum Chaos PDF eBook
Author Katsuhiro Nakamura
Publisher CUP Archive
Pages 228
Release 1994-06-02
Genre Mathematics
ISBN 9780521467469

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Past studies on chaos have been concerned with classical systems but this book is one of the first to deal with quantum chaos.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Title Nonlinear Dynamics and Chaos PDF eBook
Author Steven H. Strogatz
Publisher CRC Press
Pages 532
Release 2018-05-04
Genre Mathematics
ISBN 0429961111

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos
Title Nonlinear Dynamics and Quantum Chaos PDF eBook
Author Sandro Wimberger
Publisher Springer Nature
Pages 270
Release 2023-01-01
Genre Science
ISBN 3031012496

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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. This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Title Nonlinear Dynamics and Chaos PDF eBook
Author J. M. T. Thompson
Publisher John Wiley & Sons
Pages 492
Release 2002-02-15
Genre Science
ISBN 9780471876847

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Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.

Quantum Signatures of Chaos

Quantum Signatures of Chaos
Title Quantum Signatures of Chaos PDF eBook
Author Fritz Haake
Publisher Springer Science & Business Media
Pages 491
Release 2013-03-09
Genre Science
ISBN 3662045060

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This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

The Physics of Phase Space

The Physics of Phase Space
Title The Physics of Phase Space PDF eBook
Author Young S. Kim
Publisher Springer
Pages 457
Release 2005-09-13
Genre Science
ISBN 3540479015

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The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.