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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". |
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