# Statistical Mechanics - Density of States Problem

1. Feb 21, 2013

### pukeynut

1. The problem statement, all variables and given/known data

What is the density of states g(E) for a quantum system having the energy levels:

En=hv(n+1/2)1/2

,where n is a positive integer?

2. Relevant equations

$g(E) = \frac{d\zeta}{dE}$
$\zeta=$ area under curve of constant energy\area per state
3. The attempt at a solution

Okay, so I know how to get the density of states once I get started, but I'm having the most stupid mental block. I want to work in "n" phase space, so that the spacing between my states is just 1. But in this case what would the space under the constant energy curve look like geometrically? Is the curve just a straight line or?