Quantum Mechanics Simulations - Project

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AbbasB.
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Hello.
I am not too sure if this thread is the right place to post this in. But anyway.

I have to make a project for my final year, and I have chosen to make a quantum mechanics based project. I am thinking of doing some quantum mechanics based simulations, give a little bit of history of actual experiments related to those simulations, and their philosophical implications.

My question, generally put, is: How do I go about doing it? Meaning, what 'things' (softwares, websites, et al) should I use? What kind of simulations/experiments would be best suited for my project?

Secondly, have you ever done a quantum mechanics based project? If so, what was it?
 
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Quantum mechanics is pretty broad. If you are new to the topic, I'd recommend doing something basic at first, like finding the eigenstates of a square well.
 
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Another possibility is to compute the transmission and reflection coefficients of a wavefunction tunneling through a potential barrier. If you know how to program in C/C++ or java you can make a graphical display of such a process.
 
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