NONLINEAR DYNAMICS: QUANTUM CHAOS
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Georgia Tech PHYS 7224 Spring semester 2002
Predrag Cvitanovic'
Lecture 15 Thu, Feb 28 2002 12:05-13:25 in Howey S106
Billiard dynamics
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Stability of billiard flows
Reading:
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Classical and Quantum Chaos
--- www.nbi.dk/ChaosBook/postscript.html
best not to print yet (but browse)
chapter 4 - Local stability
Problem set:
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Exer 3.7 Pinball simulator
write a pinball simulator (a particle running between 3
equidistant disks in the plane), draw few trajectories in
the configuration space, and in the Poincare section (disk
perimeter, parallel velocity at impact) plane.
Exer 3.8 Pinball repeller (optional)
Exer 4.3 Fundamental domain fixed points
Exer 4.4 Fundamental domain 2-cycle (optional)
2) write a [2x2] Jacobian matrix routine for the above simulator
3) test it against analytic result for the 2-disk bouncing
periodic orbit.
due in stages
- progress report (send me an e-mail with plots attached)
by next thursday,
- running simulator by
Tue, Mar 12 2002
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next class Tue Mar 12 2002