The effect of an electric field on the electron energy and resonant wi
dth in a quantum well have been investigated theoretically. By conside
ring the tunneling of electrons under the influence of an electric fie
ld 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 w
idth of the resonant level by the uncertainty principle. Such lifetime
decreases when the electric field increases.