hw1
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Homework #1
Due 5pm on Friday Week 1
Sommerfield model
a) Assuming the Sommerfield model, and starting from a sketch of allowed traveling wave states in k-space, show that n_3d = (k_F)³/3π².
b) Do the same thing for a one-dimensional electron gas, i.e. relate n_1d to k_F (now the electron traveling waves are described by only k_x).
c) Estimate n_3d and E_F for gold using physical/chemical parameters such as density and electron configuration.
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