NONLINEAR DYNAMICS: QUANTUM CHAOS ----------------------------------------------------------- Georgia Tech PHYS 7224 Spring semester 2002 Predrag Cvitanovic' Lecture 16 Tue, Mar 12 2002 12:05-13:25 in Howey S106 Cycle expansions ----------------- First we discuss progress on the pinball simulator. Pending any, we start learning how to actually use the semiclassical spectral determinants. Reading: -------- Classical and Quantum Chaos --- www.nbi.dk/ChaosBook/postscript.html chapter 1 - Overture sect 1.3 Game of pinball sect 1.4 Periodic orbit theory sect 1.5 Evolution operators sect 1.7 Semiclassical quantization The discussion is about classical chaos, but the formalism is the same as what we need to implement semiclassical quantization chapter 8 - Spectral determinants sect. 8.3 Dynamical zeta functions (up to but excluding subsection 8.3.1) sect. 8.5.1 Spectral determinants vs. dynamical zeta functions chapter 13 - Cycle expansions --------------------------------------------------------------