So here is my question. Have a 2-D electron gas where:(adsbygoogle = window.adsbygoogle || []).push({});

E = P(x)^2/(2m) + P(y)^2/(2m)

Where p^2= p(y)^2 + p(x)^2

1. How many single particle energy states are there with momentum p?

( this may be a really simple question but I need a refresher.)

2. If there are N electrons is the metal, and T=0 , find the fermi energy of the 2-D electron gas

3. Find the ave electron energy of the gas in the 2-D Fermi energy at T=0.

this last one i think I have a better idea since with the 3-D there is a factor of 1/8, the 2-D it would most likely have a factor of 1/4.

Any other help with the first 2 would be awesome!

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# Statistical Quantum good question

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