Most difficult part of the material
Branching the Schroedinger equation out from one dimension to three, so that we may include angular momentum. I'm not sure how to incorporate it yet, whether we completely reinvent the equation, or if we are simply adding on an extra term that we did not have before. The maths in 7.8 wasn't very easy to follow...actually alot of the maths up to now hasn't been that simple.
Most interesting part of the material
The quantisation of angular momentum and how it is represented with no definite x or y coordinate ie the vector model. I'm not really sure how this corresponds to reality, nor how this behaves with the classical prediction.
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