BOUND-STATES AND SCATTERING IN QUANTUM WAVE-GUIDES COUPLED LATERALLY THROUGH A BOUNDARY WINDOW

We consider a pair of parallel straight quantum waveguides coupled lat erally through a window of a width l in the common boundary. We show t hat such a system has at least one bound state for any l > 0. We find the corresponding eigen-values and eigenfunctions numerically using th e mode-matching method, and discuss their behavior in several situatio ns. We also discuss the scattering problem in this setup, in particula r, the turbulent behavior of the probability flow associated with reso nances. The level and phase-shift spacing statistics shows that in dis tinction to closed pseudo-integrable billiards, the present system is essentially nonchaotic. Finally, we illustrate time evolution of wave packets in the present model. (C) 1996 American Institute of Physics.