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 and three anti-dots, we observe an interesting phenomenon: the interference between one subband of the quasi-bound states and background second subband, and the interference of resonant group states of different subbands. 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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