Sunday, April 6, 2014
Integration
You probably already know this, but anyway, here is and approach to
integration that you may find useful. In this class we want to get
results and not get bogged down in integration methods any more than
necessary. In this class, most of our integrals will be definite and
thus simpler than indefinite integrals.
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I couldn't find where to post a thank you note for the video on your live stream, but I really appreciated it. I wasn't able to make it because I didn't even know that it was going on until it was too late. I am really sorry, but I just wanted to let you know that I think it was really helpful and awesome that you posted it. I was confused on the homework for density of states and the fermi function but the video clarified a few things.
ReplyDeleteA few things to note, I wasn't able to see the chat box during the video afterwards, but that wasn't too big of an issue. The second is a question about the very end. When we get density of state, g(E), and that is proportional to the 1/derivative of E(k), why did you plot it on the same graph as the fermi function? I would think that the scales would be a lot different.
Anyways, thanks again!
True, the vertical scales are different, very different, but they are often part of the same integrand; plotting them together* helps you see and visualize which states are empty and which are full.
DeleteBy implication, there are two vertical scales when you do that; e.g., states/(eV-cm^3) on the left and a unit-less "zero to one" scale on the right.