One-Dimensional Potential Step, Barrier, and Well

Abstract

In this appendix, a number of simple quantum systems will be considered. They are one-dimensional particles subject to a piecewise constant potential. For such problems, analytical solutions are easily found. In spite of their simplicity, they illustrate most of the major features of quantum dynamics with respect to classical dynamics: quantum reflection, tunnel effect, energy quantization, resonances. The results presented in this appendix are used in many quantum applications. In particular, they are good models for many semiconductor structures.