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Bound States Calculation Lab

By Dragica Vasileska1, Gerhard Klimeck2, Xufeng Wang2

1. Arizona State University 2. Purdue University

Calculates bound states for square, parabolic, triangular and V-shaped potential energy profile

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Archive Version 1.0.3
Published on 21 Jan 2010
Latest version: 1.0.4. All versions

doi:10.4231/D3S46H57R cite this

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Abstract

The Bound States Calculation Lab determines the bound states and the corresponding wavefunctions in a square, harmonic, triangular and v-shaped potential well. Maximum number of eigenstates that can be calculated is 20. For better understanding the physics behind the bound-state calculation lab that numerically solves for the eigenstates and the eigenfunctions using the shooting methods, we have also provided the following reading material:
  • Tutorial on Bound States Calculation
  • Solution of the Harmonic Oscillator Problem
  • Also, we have prepared a number of exercises that demonstrate the full potential of this tool and also motivate the students to develop analytical skills to solving this type of problems:
  • Exercise: Bound States Calculation
  • Exercise: Brute-Force Approach Applied to Harmonic Oscillator Problem and Coulomb Potential in 1D
  • Exercise: Operator Approach to Harmonic Oscillator Problem
  • Upgrades from previous versions:

    • Version 1.0.1: Fixed a bug which crashed the code for larger parabolic confinements. This was a bug identified by a user and posted as a question.
    • Version 1.0.3: Introduced a new plot of the eigen energy as a function of occurrance in a wish.

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    nanoHUB.org, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.