NONLINEAR DYNAMICS: QUANTUM CHAOS
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Georgia Tech PHYS 7224 Spring semester 2002
Predrag Cvitanovic'
Lecture 25 Thu, Apr 9 2002 12:05-13:25 in Howey S106
Discrete symmetries
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In this unplanned lecture on symmetries I diverged far
from the ChaosBook text. Here is some reading to
supplement the lecture:
Reading:
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Group Theory
--- www.nbi.dk/GroupTheory/postscript.html
chapter 5 - Permutations
sects. 5.1, 5.2
chapter 8 - Unitary groups
sects. 8.1, 8.2
Lattice Field Theory
--- www.nbi.dk/~predrag/field_the/lattFT/lattFT.ps.gz
sect. 1.5 Discrete Fourier transforms
(as examples of the full reduction of the cyclic group
- a subgroup of the permutation group)
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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.
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