Fundamental Theories of Physics

The Transition to Chaos

Conservative Classical and Quantum Systems

Authors: Reichl, Linda

Free Preview
  • A thorough, comprehensive discussion of classical and quantum chaos theory with applications ranging from atomic dynamics  to the structure of galaxies
  • Specific discussions include mechanisms for the onset of classical and quantum chaos, KAM theory, classical and quantum scattering theory for chaotic systems, Arnol’d diffusion in classical and quantum systems, random matrix theory, thermalization of quantum systems, The dynamics of atomic and molecular systems in the presence of time-periodic radiation fields
  •  
  • Text is self-contained and appendices help provide much of the needed background in mathematics
see more benefits

Buy this book

eBook $149.00
price for USA in USD
  • ISBN 978-3-030-63534-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-030-63533-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.

This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.

 


About the authors

Linda E. Reichl, Ph.D., is a Professor of Physics at the University of Texas at Austin and is co-Director of the Center for Complex Quantum Systems. She has authored numerous papers on classical and quantum chaos theory and is author of the textbook “A Modern Course in Statistical Physics”, now in its fourth edition. She was elected a Fellow of the American Physical Society in 2000 for “original work in the field of quantum chaos”.

 


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $149.00
price for USA in USD
  • ISBN 978-3-030-63534-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-030-63533-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
The Transition to Chaos
Book Subtitle
Conservative Classical and Quantum Systems
Authors
Series Title
Fundamental Theories of Physics
Series Volume
200
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-63534-3
DOI
10.1007/978-3-030-63534-3
Hardcover ISBN
978-3-030-63533-6
Series ISSN
0168-1222
Edition Number
3
Number of Pages
XIV, 555
Number of Illustrations
176 b/w illustrations
Topics