Periodic orbit theory in fractal drums

Stefanie Russ and Jesper Mellenthin

Physica A: Statistical Mechanics and its Applications, 2005, vol. 357, issue 1, 159-164

Abstract: The level statistics of pseudointegrable fractal drums is studied numerically using periodic orbit theory. We find that the spectral rigidity Δ3(L), which is a measure for the correlations between the eigenvalues, decreases to quite small values (as compared to systems with only small boundary roughness), thereby approaching the behavior of chaotic systems. The periodic orbit results are in good agreement with direct calculations of Δ3(L) from the eigenvalues.

Keywords: Quantum chaos; Billiards; Fractal drums; Pseudointegrable systems (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:357:y:2005:i:1:p:159-164

DOI: 10.1016/j.physa.2005.05.064

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