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Quantum Mechanics: Harmonic Oscillator

Bound States Calculation Lab

This resource has a 5.5 Ranking

Ranking is calculated from a formula comprised of user reviews and usage statistics. Learn more ›

Usage Stats
Overall Period: Updated 21 Nov, 2008
Users: 18
Jobs: 207
Avg. exec. time: 4 secs
Reviews & Citations
Google/IEEE
Avg. Review: 0.0 out of 5 stars
Citations: 0

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Available Versions

  • 1.0 (published)
Version 1.0 - published on 21 Aug, 2008
Contributor(s) Dragica Vasileska
Arizona State University

Gerhard Klimeck, Xufeng Wang
Purdue University, West Lafayette
At a glance Calculates bound states for square, parabolic, triangular and V-shaped potential energy profile
Description

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
  • Sponsored by

    NSF

    Cite this work

    If you reference this work in a publication, please cite as follows:

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

    • Vasileska, Dragica; Klimeck, Gerhard; Wang, Xufeng (2008), "Bound States Calculation Lab," doi: 10254/nanohub-r4875.1.

      BibTex | EndNote

    In addition, we would appreciate it if you would add the following acknowledgment to your publication:

    • Simulation services for results presented here were provided by the Network for Computational Nanotechnology (NCN) at nanoHUB.org

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