Periodic Potential

Calculation of the allowed and forbidden states in a periodic potential

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Archive Version 1.0
Published on 25 Jan 2007, unpublished on 03 Apr 2008
Latest version: 1.2. All versions

doi:10.4231/D3C53F11Q 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.

Credits

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

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Researchers should cite this work as follows:

  • (2014), "Periodic Potential," https://nanohub.org/resources/periodicpot. (DOI: 10.4231/D3C53F11Q).

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Tags

  1. educational tool
  2. homework assignments
  3. nanoelectronics
  4. quantum
  5. tunneling
  6. wavefunction