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

How to Find the Energy Level of a Harmonic Oscillator: An Example

Your quantum physics instructor may ask you to find the energy level of a harmonic oscillator. The best way to learn how is through an example. Say that you have a proton undergoing harmonic oscillation with

image0.png

as shown in the figure.

A proton undergoing harmonic oscillation.
A proton undergoing harmonic oscillation.

What are the energies of the various energy levels of the proton? You know that in general,

image2.png

So here are the energies of the proton, in megaelectron volts (MeV):

image3.png

And so on.

Now what about the wave functions? The general form of

image4.png

Convert all length measurements into femtometers

image5.png

where x is measured in femtometers:

image6.png

Here are a couple more wave functions:

image7.png
  • 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!