NONLINEAR DYNAMICS: QUANTUM CHAOS ----------------------------------------------------------- Georgia Tech PHYS 7224 Spring semester 2002 Predrag Cvitanovic' Lecture 22 Tue, Apr 2 2002 12:05-13:25 in Howey S106 Discrete symmetries ------------------- Dynamics often comes equipped with discrete symmetries, such as the reflection and the rotation symmetries. Symmetries simplify and improve the cycle expansions in a rather beautiful way. Reading: -------- Classical and Quantum Chaos --- www.nbi.dk/ChaosBook/postscript.html chapter 17 - Discrete symmetries -------------------------------------------------------------- The solution of problems starting with helium trajectories and ending with the helium spectrum form the final exam in the course. If you prefer, you can compute the 3-disk resonances instead, the determination of perioidc orbits is easier in billards than it is in the flows. -------------------------------------------------------------------