We model the electron waveguide coupler as a four‐terminal device, by considering the scattering at the interaction region between the electron waveguides. Transmission and reflection coefficients are evaluated for a variety of system parameters. Periodic switching of the electron wave between the waveguides are observed. Complete electron transfer occurs at a transfer length as short as 400 A˚. This value is much smaller than that predicted by coupled‐mode theory and the device is thus experimentally realizable.