NONLINEAR DYNAMICS: QUANTUM CHAOS ----------------------------------------------------------- Georgia Tech PHYS 7224 Spring semester 2004 Predrag Cvitanovic' Lecture 8: Tue Feb 3 2004 09:35-10:55 in Howey S104 Semiclassical evolution ----------------------- Reading: -------- Chaos: Classical and Quantum (version 10) --- ChaosBook.org/stable/postscript.html print (if anything) pp. 481-503 chapter 26 - Semiclassical evolution (do not be shy about bugging me about the exposition in the webbook, it does need to be made more reader-friendly) Problem set II: --------------- print www.cns.gatech.edu/PHYS-7224/exerVanVleck10-1-7.ps.gz Problem 27.1) Schroedinger eqs in the Madelung form Problem 27.3) Hamilton's principal function cases a) and c), case b) optional Problem 27.4) Dirac delta function, Gaussian representation due Thu Feb 5 2004, in the class, or Bo Li's mailbox. Problem set III: ---------------- Problem 27.5) d-dimensional Gaussian integral Problem 21.6) d-dimensional stationary phase approximation Problem 27.7) D-dimensional free particle propagator due Tue Feb 10 2004, in the class, or Bo Li's mailbox. --------------------------------------------------------------