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K. Hornberger and U. Smilansky,
The exterior and interior edge states of magnetic billiards: spectral statistics and correlations,
Physica Scripta T90, 64-74 (2001). (Special issue: Quantum Chaos Y2K).


We study the properties of quantum states in the interior and the exterior of magnetic billiards. A weight is associated to each state, providing an objective criterion to distinguish between bulk and edge states. We define a spectral density of edge states, which is then studied statistically and semiclassically. In particular, we observe strong cross-correlations between the interior and exterior edge spectra. They are identified as the quantum signature of a classical duality of periodic orbits.

(11 pages, 10 figures)   [pdf 875kByte, journal]                   (c) Physica Scripta