Abstract
We discuss signatures of quantum chaos in open chaotic billiards. Solution for such a system are given by complex scattering wave functions ψ=u+iv provided that a steady current flows through the billiard. For slightly opened chaotic billiards the current distributions are simple and universal. It is remarkable, that the resonant transmission through integrable billiards also gives the universal current distribution. Currents induced by the Rashba spin-orbit interaction can flow even in closed billiards. Wave function and current distributions for chaotic billiard with weak and strong spin-orbit interactions have been derived and compared with numerics.
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