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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
Published on 21 Aug 2008, unpublished on 06 Mar 2009
Latest version: 1.0.4. All versions

doi:10.4231/D3WH2DD7V 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
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