# Density of states for a Bose gas

1. Apr 13, 2008

### ehrenfest

[SOLVED] density of states for a Bose gas

1. The problem statement, all variables and given/known data
My book (Kittel) says that the density of states of an ideal Bose gas is:

$$D(\epsilon) = V/4\pi^2 \left(2M/\hbar^2 \right)^{3/2} \epsilon^{1/2}$$

I do not understand why the density of states is not identically infinity since the point of a Bose gas is that an orbital can be occupied by an unlimited number of bosons.

2. Relevant equations

3. The attempt at a solution

2. Apr 14, 2008

### malawi_glenn

3. Apr 14, 2008

### genneth

The definition of density of states for quantum gases is usually for a single particle.