Bound states in the continuum in quantum-dot pairs

It is shown that for two open quantum dots connected by a wire, ``bound states in the continuum'' of a single electron are formed at nearly periodic distances between the dots. This is due to Fabry-P\'erot interference between quasibound states in each dot. The bound states are nonlocal, describing the electron trapped in both dots at the same time. Theoretical and numerical results show that trapped states exist even if the wire connecting the dots is relatively long.