Statistical measures for eigenfunctions of nonseparable quantum billiard systems

F. Simmel, M. Eckert

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We study two statistical measures for eigenfunctions of several classically pseudointegrable and chaotic billiard systems: The directional energy distribution and the nodal line curvature distribution. A sharp distinction between the classically pseudointegrable and the chaotic systems is possible with both of these measures. They can also be used to distinguish between regular and irregular eigenfunctions of the billiard systems. Using the same data set additionally the amplitude distribution is calculated for single regular and irregular states and accumulated over several hundred states. The well-known Gaussian prediction holds well for irregular wave functions of the pseudointegrable system, too.

Original languageEnglish
Pages (from-to)517-530
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Issue number4
StatePublished - 1996
Externally publishedYes


  • Quantum chaos


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