Bound states and scattering in quantum waveguides coupled laterally through a boundary window
- Nuclear Physics Institute, Academy of Sciences, CZ-25068 Rez near Prague (Czech Republic)
- Department of Mathematics, Faculty of Nuclear Science and Physical Engineering, Czech Technical University, Trojanova 13, CZ-12000 Prague (Czech Republic)
We consider a pair of parallel straight quantum waveguides coupled laterally through a window of a width {ital l} in the common boundary. We show that such a system has at least one bound state for any {ital l}{approx_gt}0. We find the corresponding eigenvalues and eigenfunctions numerically using the mode-matching method, and discuss their behavior in several situations. We also discuss the scattering problem in this setup, in particular, the turbulent behavior of the probability flow associated with resonances. The level and phase-shift spacing statistics shows that in distinction to closed pseudo-integrable billiards, the present system is essentially nonchaotic. Finally, we illustrate time evolution of wave packets in the present model. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 385654
- Journal Information:
- Journal of Mathematical Physics, Vol. 37, Issue 10; Other Information: PBD: Oct 1996
- Country of Publication:
- United States
- Language:
- English
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