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

Launch Tool

This tool version is unpublished and cannot be run. If you would like to have this version staged, you can put a request through HUB Support.

Archive Version 1.0.2
Published on 03 Nov 2009
Latest version: 1.0.6. All versions

doi:10.4231/D34Q7QP98 cite this

This tool is closed source.

Category

Tools

Published on

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.

    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)

    • Dragica Vasileska; Gerhard Klimeck; Xufeng Wang (2014), "Bound States Calculation Lab," http://nanohub.org/resources/bsclab. (DOI: 10.4231/D34Q7QP98).

      BibTex | EndNote

    Tags