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Quantum Mechanics: Periodic Potentials and Kronig-Penney Model

By Dragica Vasileska1, Gerhard Klimeck2

1. Arizona State University 2. Purdue University

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Slides/Notes podcast

Licensed according to this deed.

In This Series

  1. Piece-Wise Constant Potential Barriers Tool

    30 Jun 2008 | Tools | Contributor(s): Xufeng Wang, Samarth Agarwal, Gerhard Klimeck, Dragica Vasileska, Mathieu Luisier, Jean Michel D Sellier

    Transmission and the reflection coefficient of a five, seven, nine, eleven and 2n-segment piece-wise constant potential energy profile

  2. Slides: Kronig-Penney Model Explained

    08 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

    www.eas.asu.edu/~vasileskNSF

  3. Periodic Potentials and the Kronig-Penney Model

    01 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska

    This material describes the derivation of the Kronig-Penney model for delta-function periodic potentials.

  4. Periodic Potentials and Bandstructure: an Exercise

    02 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

    This exercise teaches the students that in the case of strong coupling between the neighboring wells in square and Coulomb periodic potential wells electrons start to behave as free electrons and the gaps that open at the Brillouin zone boundaries become smaller and smaller (thus recovering the...

  5. From 1 well to 2 wells to 5 wells to periodic potentials: an Exercise

    02 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

    This exercise demonstrates that the interaction between the wells lifts the degeneracy of the quasi-bound states and if in the limit we have infinite periodic potential it leads to formation of energy bands. Notice that when the interaction is less strong the energy levels are more sharp and the...

  6. Band Structure Lab

    19 May 2006 | Tools | Contributor(s): Samik Mukherjee, Kai Miao, Abhijeet Paul, Neophytos Neophytou, Raseong Kim, Junzhe Geng, Michael Povolotskyi, Tillmann Christoph Kubis, Arvind Ajoy, Bozidar Novakovic, James Fonseca, Hesameddin Ilatikhameneh, Sebastian Steiger, Michael McLennan, Mark Lundstrom, Gerhard Klimeck

    Computes the electronic and phonon structure of various materials in the spatial configuration of bulk , quantum wells, and wires

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