Schrodinger's equation and the Diffusion equation

[snkk197]

I've been combing over websites and papers on this, but I can't get a handle on trying to explain or visualize the similarity between them. The wave equation "smears out" over time as does the diffusion equation?

[Daverz]

Check out Chapter 3 of Baym's Lectures on Quantum Mechanics (http://books.google.com/books?id=1125sVZ2_GcC&printsec=frontcover&dq=baym+lectures&hl=en&ei=1cMFTd-oGY22sAPUntz1DA&sa=X&oi=book_result&ct=result&resnum=1&ved=0CCMQ6AEwAA#v=onepage&q&f=false).