The quantum mechanics of chaotic billiards

We study the quantum behaviour of chaotic billiards which exhibit classical ly diffusive behaviour. In particular we consider the stadium billiard and discuss how the interplay between quantum localization and the rich structu re of the classical phase space influences the quantum dynamics. The analys is of this model leads to new insight in the understanding of quantum prope rties of classically chaotic systems. (C) 1999 Elsevier Science B.V. All ri ghts reserved.