Wavefunction Intensity Statistics from Unstable Periodic Orbits

Details Wavefunction Intensity Statistics from Unstable Periodic Orbits Wavefunction Intensity Statistics from Unstable Periodic Orbits

1998-09-12

arxiv.org/abs/chao-dyn/9809012v1

Physical Review Letters 80, 2582 (1998)

Physics

Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.80.2582

We examine the effect of short unstable periodic orbits on wavefunction statistics in a classically chaotic system, and find that the tail of the wavefunction intensity distribution in phase space is dominated by scarring associated with the least unstable periodic orbits. In an ensemble average over systems with classical orbits of different instabilities, a power law tail is found, in sharp contrast to the exponential prediction of random matrix theory. The calculations are compared with numerical data and quantitative agreement is obtained

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