NONLINEAR DYNAMICS: QUANTUM CHAOS
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Georgia Tech PHYS 7224 Spring semester 2002
Predrag Cvitanovic'
Lecture 21 Tue, Feb 21 2002 12:05-13:25 in Howey S106
Semiclassical scattering theory wrapped up
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We will write out the Gutzwiller-Voros determinant for
2 Hamiltonian degrees of freedom, and start setting up the
first test of the theory, quantum resonances in multi-disk
scattering.
Reading:
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Classical and Quantum Chaos
--- www.nbi.dk/ChaosBook/postscript.html
do not print yet (but browse) current drafts of
chapter 23 - WKB quantization
http://cns.physics.gatech.edu/ChaosBook/coauthors/chapters/WKB-2p.ps.gz
chapter 26 - Semicalssical chaotic scattering
http://cns.physics.gatech.edu/ChaosBook/coauthors/chapters/scattering-2p.ps.gz
Problem set:
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Write an essay about quantum scattering in your own words,
based on your favourite QM textbooks and articles, explaing
S-matrix
quantum resonances as measured in real E (energy)
quantum resonances presented in complex E plane (optional)
Wigner time delay (optional)
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due Tue Feb 26 2002, in the class, or Predrag's mailbox or hand it to Y. Lan.