Advertisement
Online Test Banks
Score higher
See Online Test Banks
eLearning
Learning anything is easy
Browse Online Courses
Mobile Apps
Learning on the go
Explore Mobile Apps
Dummies Store
Shop for books and more
Start Shopping

Wave Functions for Quantum Harmonic Oscillators

Part of the Quantum Physics Workbook For Dummies Cheat Sheet

Submicroscopic harmonic oscillators are popular quantum physics problems because harmonic oscillators are relatively simple systems — the force that keeps a particle bound here is proportional to the distance that the particle is from the equilibrium point.

Here’s the harmonic oscillator at its simplest:

image0.jpg

where

image1.jpg

And here’s the next-higher state:

image2.jpg

In general, you can use the following equation for the wave functions, where Hn is a hermite polynomial:

image3.jpg

where

image4.jpg
  • Add a Comment
  • Print
  • Share
blog comments powered by Disqus
Advertisement
Advertisement

Inside Dummies.com

Dummies.com Sweepstakes

Win an iPad Mini. Enter to win now!