Tunneling in quantum wells in the presence of an electric field

The effect of an electric field on the electron energy and resonant width in a quantum well have been investigated theoretically. By considering the tunneling of electrons under the influence of an electric field in the quantum well, we obtain a shifted and broadened energy level spectrum from the tunneling of electrons. The lifetime broadening due to the rapid tunneling escape of electrons is related to the energy width of the resonant level by the uncertainty principle. Such lifetime decreases when the electric field increases.