Georgios Kordas

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.

Literature

---

Books

• 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)

Articles

• 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)