Chaos in Classical and Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos in Classical and Quantum Mechanics write by Martin C. Gutzwiller. This book was released on 2013-11-27. Chaos in Classical and Quantum Mechanics available in PDF, EPUB and Kindle. Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
Chaos in Classical and Quantum Mechanics
Chaos in Classical and Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos in Classical and Quantum Mechanics write by Martin C. Gutzwiller. This book was released on 1991-08-01. Chaos in Classical and Quantum Mechanics available in PDF, EPUB and Kindle. Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
Chaos in Classical and Quantum Mechanics
Chaos in Classical and Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos in Classical and Quantum Mechanics write by Martin C. Gutzwiller. This book was released on 2014-09-20. Chaos in Classical and Quantum Mechanics available in PDF, EPUB and Kindle.
The Transition to Chaos
The Transition to Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Transition to Chaos write by Linda Reichl. This book was released on 2013-04-17. The Transition to Chaos available in PDF, EPUB and Kindle. resonances. Nonlinear resonances cause divergences in conventional perturbation expansions. This occurs because nonlinear resonances cause a topological change locally in the structure of the phase space and simple perturbation theory is not adequate to deal with such topological changes. In Sect. (2.3), we introduce the concept of integrability. A sys tem is integrable if it has as many global constants of the motion as degrees of freedom. The connection between global symmetries and global constants of motion was first proven for dynamical systems by Noether [Noether 1918]. We will give a simple derivation of Noether's theorem in Sect. (2.3). As we shall see in more detail in Chapter 5, are whole classes of systems which are now known to be inte there grable due to methods developed for soliton physics. In Sect. (2.3), we illustrate these methods for the simple three-body Toda lattice. It is usually impossible to tell if a system is integrable or not just by looking at the equations of motion. The Poincare surface of section provides a very useful numerical tool for testing for integrability and will be used throughout the remainder of this book. We will illustrate the use of the Poincare surface of section for classic model of Henon and Heiles [Henon and Heiles 1964].
Nonlinear Dynamics and Quantum Chaos
Nonlinear Dynamics and Quantum Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamics and Quantum Chaos write by Sandro Wimberger. This book was released on 2014-05-13. Nonlinear Dynamics and Quantum Chaos available in PDF, EPUB and Kindle. 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.
