« · »

Physlets run in a Java-enabled browser, except Chrome, on the latest Windows & Mac operating systems. If Physlets do not run, click here for help updating Java & setting Java security.

Problem 13.3: Degeneracy in a rectangular infinite well

Choose a Level:
Choose a Level:

Energy = in units of ground-state energy of 1-d well: a = 1

Please wait for the animation to completely load.

Shown are the energy eigenfunctions for a single particle in a two-dimensional infinite square well. One side (x) is of length a = 1 and the other side (y) is of length b = 2.  You may change the value of the slider to change the quantum number associated with each dimension. In addition, you may view the energy eigenfunctions as a three-dimensional plot or as a contour plot and view the probability densities as either a three-dimensional plot or as a contour plot.

  1. Describe the energy levels as a function of n and m.
  2. What is the condition of energy degeneracy?
The OSP Network:
Open Source Physics - Tracker - EJS Modeling
Physlet Physics
Physlet Quantum Physics