Quantum billiard chaos

The existence of quantum billiard chaos is examined for non-stationary stat es based on expansion or the quantum distribution in the quasi-classical li mit. It is shown that this expansion converges asymptotically and leads to the Liouville equation, which in turn implies the Poincare recurrence theor em. A smoothing procedure is introduced which renders this expansion consis tent at the boundary of the billiard. This recurrence property lends: suppo rt to the existence of quantum billiard chaos and further establishes corre spondence between classical and quantum chaotic billiards. (C) 2000 Elsevie r Science B.V. All rights reserved.