Note: Right click on any applet to make a copy of the image.  Choosing the Show Multiple option and Resetting allows up to 4 plots to be viewed simultaneously.  The mouse coordinates may be observed by left-clicking within the graph.

Polar Wave Functions

The polar solutions graphed here are the unnormalized associated Legendre polynomials, P_lm(q,f).  Refer to the convention accepted for spherical coordinates.  A positive angle q is defined to be the angle down from the z-axis toward the positive x-axis.  The length of a vector from the origin to the wave function is the magnitude of the wave function at that angle.