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

Trapping Particles in Square Well Potentials: Wave Functions

Part of the Quantum Physics Workbook For Dummies Cheat Sheet

One of the most fundamental problems of quantum physics deals with particles trapped on a submicroscopic level in a square well. The square well is always a favorite problem in quantum mechanics classes because the wave function works out so nicely.

The square well has many variations — you can have square wells that are symmetric around the origin, that have infinite walls, that have finite walls, and more. Here’s the square well at its most basic:

image0.jpg

This is a one-dimensional well, so you’re concerned only with the x direction; therefore, the Schrödinger equation looks like this:

image1.jpg

The wave function looks like this:

image2.jpg

where A and B are constants.

  • 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!