That would be a sphere at the origin with a radius of $$\sqrt{\frac{2 E m a^2}{h^2 \pi^2}}$$. I'm not too sure what to do with this, could it be something with the density?
Hi, so I'm having trouble with a homework problem where it asks me to find the number of states with an energy less than some given E.
From this, I was able to work out the energy E to be
$$
E = \frac{\hbar^2}{2m} \frac{\pi^2}{a^2} \left(
n_x^2 + n_y^2 + n_z^2
\right)
$$
and...