Announcement -- Please Post -- Nov 11 2003
NONLINEAR DYNAMICS: QUANTUM CHAOS
INSTRUCTOR: Predrag Cvitanovic'
TIME: Spring semester 2004, TR 09:35-10:55 in Howey S104
TEXT: Classical and Quantum Chaos webbook, ChaosBook.org
COURSE HOME PAGE: www.cns.gatech.edu/PHYS-7224
START: Thursday, Jan 8 2004 in Howey S104
Graduate level introduction to recent developments in the theory of
quantum chaos and its applications, with emphasis on the interplay
between classical dynamics and quantum mechanics. The course has
much in common with (and complements) graduate level field theory
and quatum mechanics courses; partition functions and semi-classical
evolution operators are applied to computation of quantum spectra of
classically chaotic systems.
* Historical perspective - chaos in quantum mechanics.
* Semiclassical methods.
* Semiclassical quantization - Gutzwiller trace formula.
* Classical dynamics - periodic orbits.
* Spectroscopy of chaotic systems - dynamical zeta functions.
* Periodic orbit quantization of helium.
* Periodic orbit theory of diffraction and tunneling.
* Wave chaos.
* Random matrix theory.
The course is aimed at PhD students, postdoctoral fellows and advanced
undergraduates in physics, mathematics, chemistry and engineering. A
term project will take the place of a final exam. The term project will be
individually tailored to student's level and research interests.
Subscribe to the course e-mail distribution even if you are only
interested in a subset of the topics (you are welcome to sit in on lectures
of interest) - send e-mail with text (and no header):
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