One-Dimensional Potential Step, Barrier, and Well

  • Carlo JacoboniEmail author
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 165)


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Dipartimento di FisicaUniversità di Modena e Reggio EmiliaModenaItaly

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