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Bound States Calculation Lab
Calculates bound states for square, parabolic, triangular and Vshaped potential energy profile
Launch Tool
Archive Version 1.0.4
Published on 25 Feb 2010
Latest version: 1.0.6. All versions
doi:10.4231/D35717N3B cite this
This tool is closed source.
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Abstract
The Bound States Calculation Lab determines the bound states and the corresponding wavefunctions in a square, harmonic, triangular and vshaped potential well. Maximum number of eigenstates that can be calculated is 20. For better understanding the physics behind the boundstate 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: BruteForce 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. Version 1.0.4: Added analytical solutions for comparison.
Sponsored by
NSF
Cite this work
Researchers should cite this work as follows:

Lecture notes on Quantum Mechanics prepared by Dragica Vasileska (www.eas.asu.edu/~vasilesk)