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The following is not suitable for high-school students. It
is for mad scientists only. Suppose you are crazy enough,
and suppose you want really high performance -- hundreds of
gigaflops -- running on your desktop, and portable to
somebody else's desktop as well. Then you can run physics
programs on the graphics card!
A particularly physicsy example calculates the probability
density for the hydrogenic wavefunctions. I recommend
everybody should take a look at the following:
http://www.ibiblio.org/e-notes/webgl/chem/vb/ao_p_col.html
Note that the Schrödinger solution is calculated not by
javascript code, but rather by a gnarly shader program
that runs in the GPU.