NONLINEAR DYNAMICS: QUANTUM CHAOS  
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	Georgia Tech PHYS 7224			Spring semester 2002  
	Predrag Cvitanovic'

	Lecture 10         Tue, Feb 12 2002 12:05-13:25 in Howey S106

Semiclassical density of state, 1-d quantization again
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Reading:
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	Classical and Quantum Chaos	
        ---    www.nbi.dk/ChaosBook/postscript.html

	print (if anything) pp. 499-500, 502-504
		chapter 22 - Semiclassical quantization 

We will verify that the Gutzwiller trace, 
Gutzwiller-Voros determinant reduces to the WKB quantization
in 1 dimension. Also get some intutition about the
density of states - verify that we are counting the
phase-space volume in units of Planck's quanta.

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Re. problem set from last Tuesday's email:
The two problems

Problem 21.3) 1-dimensional harmonic oscillator in WKB form
	      chapter 21 - Semiclassical evolution exercises

Problem 21.6) Free particle Hamilton's principal function
	      chapter 21 - Semiclassical evolution exercises
	      cases a) and c), case b) optional

are formulated in somewhat obscure manner, so if they do not 
make sense to you, skip them.

due Tue Feb 12 2002, in the class, or Predrag's mailbox or hand it to Y. Lan.