Periodic Potential

By Heng Li1; Alexander Gavrilenko2

1. Virgina State University 2. Norfolk State University

Calculation of the allowed and forbidden states in a periodic potential

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Version 1.2 - published on 12 Oct 2014

doi:10.4231/D3Z60C318 cite this

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Abstract

"The Kronig-Penny Model" The particle in one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by periodic arrangement of ions in the crystal structure. The graph presents the real part of the transmission matrix element P11 plotted versus energy. The forbidden bands correspond to abs(Re(P11))greater than 1.

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Noginov,Mikhail A... Theory
Gavrilenko,Vladimir I... Theory

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Researchers should cite this work as follows:

  • Heng Li, Alexander Gavrilenko (2014), "Periodic Potential," https://nanohub.org/resources/periodicpot. (DOI: 10.4231/D3Z60C318).

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