Tutorial on Quantum Chaos
nHS, Philosophenweg 12, Wednesday 14:15 - 16:00 (SS 2012)
Problem Sheets:
Problem Sheet 1 - Dynamical Maps.
Problem Sheet 2 - Integrable Systems.
Problem Sheet 3 - Separable Motion and Canonical Perturbation Theory.
Problem Sheet 4 - Henon-Heiles Problem (Poincare Surface of Section).
Problem Sheet 5 - Kicked Rotor and Standard Map.
Problem Sheet 6 - Symplectic Matrices and Lyapunov Exponent.
Problem Sheet 7 - WKB Approximation and EKB Quantization.
Problem Sheet 8 - Poisson Summation Formula and Mean Density of States.
Problem Sheet 9 - Density Operator and Wigner Function.
Problem Sheet 10 - Quantum Kicked Rotor.
Problem Sheet 11 - Poisson Distribution and Rectangular Billard.
Problem Sheet 12 - Avoided Crossing.
Literature
I. Percival, D. Richards, Introduction to Dynamics, (CUP, 1999)
A.J. Lichtenberg and M.A. Lieberman, Regular and Chaotic Dynamics, (Springer, 1992)
M. Tabor, Chaos and Integrability in Nonlinear Dynamics, (Wiley, 1989)
J.E. Bayfield, Quantum Evolution, (Wiley, 1999)
R. Blümel, W.P. Reinhardt, Chaos in Atomic Physics, (CUP, 1997)
H.-J. Stoeckmann, Quantum Chaos. An Introduction, (CUP, 1999)
F. Haake, Quantum Signatures of Chaos, (Springer, 2001)
A. Einstein, Verh. Dt. Phys. Ges. 19, 82-99 (1917)
M.J. Giannoni, A. Voros, J. Zinn-Justin, Chaos and Quantum Physics, (Elsevier, 1991), Les Houches Lecture Notes
R.V. Jensen, Quantum Chaos, Nature 355, 311-318 (19972)
