Simulating Schrodinger wave equation using MATLAB.

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Urmi Roy
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Hi!

I've just finished learning the basics of MATLAB from an internet tutorial.
I know a the basics of how to represent and manipulate vectors,matrices,graphs and plots on MATLAB.

Now,my H.O.D wants me to make a programme that will simulate the Schrödinger wave equation on MATLAB...and I haven't a clue of how to even start off!

Could someone help me? Please use the most basic commands possible.
 
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Someone give me an idea atleast?