Learning objectives
The course includes the study of various systems that have complex behaviors, with the goal of finding the phenomenological laws governing the overall behavior of such systems.
Various theoretical models and techniques, both analytical and numerical will be discussed in the field of physics, biology, computer science and economics. Given the interdisciplinary nature the course is recommended for all addresses.
Prerequisites
First elementary courses in classical and quantum mechanics
Course unit content
The course includes the study of various systems that have complex behaviors, with the goal of finding the phenomenological laws governing the overall behavior of such systems composed of many degress of freedom.
Various theoretical models and techniques, both analytical and numerical will be discussed in the field of physics, biology, computer science and economics. Given the interdisciplinary nature the course is recommended for all addresses.
Bibliography
- Lecture manuscript
- S. Wimberger, Nonlinear Dynamics and Quantum Chaos: An Introduction
(Springer, Heidelberg, 2014)
- F. Scheck, Mechanics: From Newton’s Laws to Deterministic Chaos
(Springer, Heidelberg, 2007)
- V.I. Arnold, Mathematical Methods of Classical Mechanics (Springer
Verlag, New York, 1989)
- J.J. Sakurai, Modern Quantum Mechanics (Addison-Wesley Publishing
Company, Reading, MA, 1994)
- P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge
University Press, Cambridge UK, 1998)
- Online book, P. Cvitanovic, R. Artuso, R. Mainieri, G. Tanner, G. Vattay,
Chaos: Classical and Quantum (Niels Bohr Institute, Copenhagen, 2012)
at www.chaosbook.org
- M.L. Mehta, Random matrices (Elsevier, Amsterdam, 2004)
Assessment methods and criteria
Oral exam on the contents of the lecture course.
