HW 3 solutions

Your comments, thoughts, questions and feedback on these solutions is greatly appreciated 

This homework assignment  encompasses a number of concepts that will be important going forward. Understanding the fermi energy, \(E_f\), the fermi function, f(E) and the density of states, D(E), as well as how they go together to establish state occupation in semiconductors and metals, is critical. It is very helpful and valuable to be able to visualize the integrand!

Here is a link to solutions to 1-13.
https://drive.google.com/file/d/0B_GIlXrjJVn4RFNZMDdwRGlsYzA/view?usp=sharing

Here is a solution to 14, the density of states in 2D. In 2D the density of states turns out to be independent of energy for the E vs k approximation we used in this problem.

Problem 15 can be done via the same method. For 3D one ends up with a k in the numerator and thus D(E) proportional to \((E-E_c)^{1/2}\).