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 <a> 
	computed in part (a) vanishes, <a>=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