My book wants to sum the number of particles in each energy states for a gas of bosons, that it calculate the infinity sum:(adsbygoogle = window.adsbygoogle || []).push({});

Ʃn(E)

now if the E's are narrowly spaced it says we can approximate this with an integral.

∫n(E)ρ(E)dE

Now can anyone tell me using the definition of the Riemann-integral, how this integral approximates the sum? - because it doesn't really make sense to me.

I have had a similar question about the approximation of the partition function over space, but I think this is a bit different.

**Physics Forums | Science Articles, Homework Help, Discussion**

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

# Sum with bose-states

**Physics Forums | Science Articles, Homework Help, Discussion**