Eur. Phys. J. Special Topics 145, 161-169 (2007)
https://doi.org/10.1140/epjst/e2007-00153-4

Random waves and more: Eigenfunctions in chaotic and mixed systems

Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

Corresponding author: baecker@physik.tu-dresden.de

Abstract

The structure of wavefunctions strongly depends on the underlying classical dynamics. We illustrate this with several numerical examples and relate them to conjectures and mathematical results. In particular we focus on the random wave model and its implications for chaotic systems and its extension to systems with a mixed phase space.