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!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Statistical Quantum good question

Loading...

Similar Threads - Statistical Quantum question | Date |
---|---|

A Kubos formula for viscosity | Mar 18, 2017 |

I Difference between statistical and dynamical properties | Feb 25, 2017 |

Some questions regarding Statistical and Quantum Mechanics | Jan 28, 2014 |

Question about quantum statistical mechanics and thermodynamic arrow of time | Jan 6, 2005 |

**Physics Forums - The Fusion of Science and Community**