Abstract
Within the framework of the effective mass approximation, a theoretical study of energy level shift and field-induced tunneling in parabolic quantum wells is presented. Energy level shifts in infinite and finite parabolic quantum wells are calculated from the time-independent Schrödinger equation using the inverse power method, incorporating the position-dependence of the effective mass. The time evolution of an electron wavepackage is shown by the application of the time-development operator according to the time-dependent Schrödinger equation. Tunneling probability and tunneling lifetime in parabolic quantum wells based on the time-dependent Schrödinger operator are evaluated versus applied field.
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