most difficult part of the assignment
Definitely the section on the time-independent Schroedinger equation. I have always struggled with the Schroe eqn and what exactly it means - ie how it is able to explain everything about the wavefunction. I have never really understood how you 'find solutions' to it.
Similarly, the following section on eigenfunctions was a bit confusing, and I always seem to need a refresher course in eigenvalues each time I learn about them.
most interesting part of the assignment
The fact that the systems mentioned can be explained by one equation, and that even though I still find it very complicated, the simplicity of it all (once I get my head around the maths) is quite astonishing. The Schrow can be simplified down to just a set of ODEs, and some parts of it can actually be compared to the classical wave equation even though it relies so heavily on quantum mechanics.
I found section 5 to be very hard to understand, but am determined to get my head around it all before the semester has a chance to let me fall behind! Some research may also have to be done on PDEs and ODEs so i can cope with some of the maths a bit easier.
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