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## Homework Statement

1. Find the density of orbitals (often called 'density of states') for a free electron gas in

one dimension, in a box of length L.

2. Find the density of orbitals for a free electron gas in two dimensions, in a box with

area A. Compare with the three dimensional case, eqn. (19) on page 187.

eqn. (19): [itex]D(\epsilon)=\frac{V}{2\pi^{2}}\left(\frac{2m}{h^{2}}\right)^{\frac{3}{2}}\epsilon^{\frac{1}{2}}[/itex]

## Homework Equations

The one above for the second problem because I can't use it for a one dimensional box because it's got V (Volume in it).

## The Attempt at a Solution

I'm not sure what equation I should be using, also I'm confused of Fermi and Bose. My professor told me there are two ways to find density of states, one with Fermi and one with Bose (if I understood correctly).

Any help is much appreciated! I really want to understand this! :)