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This section is unavailable in an archive version of a tool. Consult the latest published version 1.0.4 for most current information.

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 1.0.1
Published on 06 Mar 2009, unpublished on 03 Nov 2009
Latest version: 1.0.4. All versions

doi:10.4231/D31G0HT7M 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.

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