Irregular dynamics in a solvable one-dimensional quantum graph

We show that the quantum single particle motion on a one-dimensional line with Fulop-Tsutsui point interactions exhibits characteristics usually associated with nonintegrable systems both in bound state level statistics and scattering amplitudes. We argue that this is a reflection of the underlying stochastic dynamics which persists in classical domain. (c) 2006 Elsevier B.V. All rights reserved.