Quantum Chaos
nHS, Philosophenweg 12, Wednesday 14:15 - 16:00 (SS 2012)
Sandro Wimberger
Tutor: Georgios Kordas 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.
Books
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Introduction to Dynamics
I. Percival, D. Richards (Cambridge University Press, 1999) -
Regular and Chaotic Dynamics
A.J. Lichtenberg and M.A. Lieberman (Springer, 1992) -
Chaos and Integrability in Nonlinear Dynamics
M. Tabor (Wiley, 1989) - Quantum Evolution:
An Introduction to Time-Dependent Quantum Mechanics
J.E. Bayfield (Wiley, 1999) -
Chaos in Atomic Physics
R. Blümel, W.P. Reinhardt (Cambridge University Press, 1997) -
Quantum Chaos. An Introduction
H.-J. Stoeckmann (Cambridge University Press, 1999) -
Quantum Signatures of Chaos
F. Haake (Springer, 2001) - Chaos and Quantum Physics:
Proceedings of the Les Houches Summer School, Course LII
M.J. Giannoni, A. Voros, J. Zinn-Justin (Elsevier, 1991)
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Zum Quantensatz von Sommerfeld und Epstein
A. Einstein, Verh. Dt. Phys. Ges. 19, 82-99 (1917) -
Quantum Chaos
R.V. Jensen, Nature 355, 311-318 (19972)