Periodic Potential Lab

Solve time independent schrodinger eqn. for arbitrary periodic potential

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Archive Version 1.02
Published on 20 Feb 2008, unpublished on 18 Nov 2008 All versions

doi:10.4231/D3V40JZ4C cite this

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This resource has a newer version available at /tools/kronigpenneylab

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Abstract

The Periodic Potential Lab solves the time independent Schroedinger Equation in a 1-D spatial potential variation. Rectangular, triangular, parabolic (harmonic), and Coulomb potential confinements can be considered. The user can determine energetic and spatial details of the potential profiles, compute the allowed and forbidden bands, plot the bands in a compact and an expanded zone, and compare the results against a simple effective mass parabolic band. Transmission is also calculated through the well for the given energy range.

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References

Introduction to Solid State Physics, Charles Kittel

Cite this work

Researchers should cite this work as follows:

  • Abhijeet Paul, Gerhard Klimeck (2014), "Periodic Potential Lab," https://nanohub.org/resources/kronig_penney. (DOI: 10.4231/D3V40JZ4C).

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