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Andreev billiards are finite, arbitrarily-shaped, normal-state regions,surrounded by superconductor. At energies below the superconducting energy gap,single-quasiparticle excitations are confined to the normal region and itsvicinity, the mechanism for confinement being Andreev reflection. Short-wavequantal properties of these excitations, such as the connection between thedensity of states and the geometrical shape of the billiard, are addressed viaa multiple scattering approach. It is shown that one can, inter alia, hear thestationary chords of Andreev billiards.Comment: 5 pages, 3 figures, revte

Quantal Andreev billiards: Density of states oscillations and the spectrum-geometry relationship