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Bound States Calculation Lab
Calculates bound states for square, parabolic, triangular and Vshaped potential energy profile
Launch Tool
Archive Version 1.0.1
Published on 06 Mar 2009, unpublished on 03 Nov 2009 All versions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 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.
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)