Exact calculations of quasibound states of an isolated quantum well with uniform electric field: Quantum-well stark resonance

Abstract

We present universal plots from exact numerical calculations for the energy level and the resonance width of quasibound states in a quantum well with an applied electric field (quantum-well Stark resonance) by solving the Schr\"odinger equation directly. This calculation gives both the resonance positions and widths for the complex eigenvalue ${E}_{0}\ensuremath{-}\frac{i\ensuremath{\Gamma}}{2}$ of the system. Our theory also shows that the energy shifts of the ground states for the electrons and holes have the same behaviors in high fields without any turnaround phenomenon, contrary to the results of Austin and Jaros.