Waterstof in 2D

This applet plots hydrogen atom states in nonrelativistic quantum mechanics. Specifically, it plots the probability densities in the stationary states ynlm(x,y,z), where n is the principal quantum number, l is related to the total angular momentum, and m is the z-component of the angular momentum. The applet shows the probability density |ynlm(x,0,z)|2 in a plane containing the z axis; the full spatial probability density may be visualized by (mentally) rotating this around the z axis.

Notes:

In the applet, the horizontal plane contains the z axis and the probability density is represented by the height of the surface above this plane.
Rendering progress is indicated by the clock. The finer the grid, the slower the rendering.
When the grid is set to its coarsest value, changes in the view angle occur in real time.

Instructions for use

Enter the desired quantum numbers using the popup menus provided.
To change the angle of view, drag the plot area using the mouse (horizontally to vary the azimuthal angle and vertically to vary the polar angle.)
To restore the applet to its original condition, click "reset".