More specifically, I love to look at problems in theoretical physics with no analytical solution ... quantum mechanics that require numerical methods to solve. The language used will mainly be python, ...

This is a classic introductory physics problem ... This is not the correct way to solve this problem — I actually remember making this exact mistake when I was an undergraduate student.

Well, I'm going to solve it anyway. For this problem, I am going to solve it using some python code. Why am I using python? I'm using it because this is a great time to show you how awesome python ...