So here is my question. Have a 2-D electron gas where: 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!