Abstract
A new scenario of quantum interference in open systems when a decaying (quasi-bound) state can interfere with the continuum is investigated. The resonant perturbation theory and numerical methods are applied to treat a scattering problem in an electron waveguide. Specifically, we use the Kapura and Peierls (KP) approach to extract resonances. In the waveguide with two antidots, we observe an interesting phenomenon: the interference between a quasi-bound state of one channel and background states of the other channel. Our results show that the zero of Fano resonance, arising from the interference between the quasi-bound states and the continuum, is generally placed in the complex plane.
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