CHAOS, AND WHAT TO DO ABOUT IT NOTE: in Howey N209
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Georgia Tech PHYS 7123 Fall semester 2001
Predrag Cvitanovic'
Lecture 11: 11:05-12:55 Thu Sep 20 2001 in Howey N209
Averaging
Trace formulas
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Reading:
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Classical and Quantum Chaos --- www.nbi.dk/ChaosBook
you can print a hard copy of (current version!)
chapter 6 - Averaging
chapter 7 - Traces
(somebody has to make the hard but unpopular decisions:
the old chapter 2 was too long and unwieldly, so I have
rewritten it and split it in two, hence
the chapters in the webbook have been renumbered, so last
week's chapter 5 is this week's chapter 6, etc.)
Exercises:
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(use course homepage version of Sep 21 or newer)
6.1 - A contracting baker's map
6.2 - Expectation valu of a vector observable
(a) verify
(b) verify
(c) compute the third derivative
(d) compute the fourth derivative assuming that the mean
computed in part (a) vanishes, =0
due Thu Sept 27 at 12:55
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Predrag Cvitanovic'
404/385-2502 office, Howey W501A
404/881-6006 home
predrag.cvitanovic@physics.gatech.edu
www.cns.gatech.edu/~predrag