- Title:
- Wavefunctions in chaotic quantum systems
- Remark:
- Course given at the workshop Quantum
Ergodicity - Basic Ideas and Recent Developments,
January 2004.
- Abstract:
- In this course we give an introduction to
the behaviour of wavefunctions in chaotic systems.
Topics:
- classical billiards: examples, ergodicity, mixing, periodic orbits
- quantum billiards:
examples,
spectral staircase function,
eigenfunctions in integrable vs. chaotic systems,
mean behaviour of eigenfunctions,
statistical properties of wave functions (random wave model)
- quantum ergodicity:
semiclassical eigenfunction hypothesis,
quantum ergodicity theorem (+ a sketch of the mathematical background),
simple examples,
quantum limits,
bouncing ball modes,
scars,
rate of quantum ergodicity
- More recent topics:
autocorrelation function and quantum ergodicity,
quantum ergodicity for Poincaré Husimi functions, ...
- Download:
- lund_course.pdf (5 MB).
Last modified: 28 June 2006, 07:23:36
Impressum, © Arnd Bäcker
