Irregular Dynamics in a Solvable One-Dimensional Quantum Graph

Abstract

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.

Comments: 4 pages ReVTeX with 3 figures. Full analytical expressions for both T_N(k) and R_N(k) are included, with revised Figures