ELECTRON-TRANSPORT THROUGH A QUANTUM CAVITY

Electron transport through a quantum cavity coupled with two one-dimen sional waveguides is studied using a generalized scattering matrix met hod. In a symmetric N-channel cavity model, we are able to obtain an e xact solution that predicts the electron energies at which the transmi ssion of electron waves become zero. We found that the zero of transmi ssion is closely related to the longitudinal resonance through inter-c hannel scattering, in particular, to the resonance of the highest prop agating mode inside the cavity. This model provides a simple way to ca lculate the electron transmission through a cavity which could be usef ul in quantum waveguide engineering.