Thermal Physics!

[iconoclass]

Wavenumber k=nPi/L, where n is number of particles and L is length of one side of a box.

The part I do not understand is how to get that the number of states with wavevector between k and k+dk is L(dk)/Pi. I think it involves some sort of integral...

Comments

[jewtemplar]

Mathematically, you can derive what you are looking for by writing n as a function of k and taking a differential.

Can you elaborate on the physical situation here? There are n particles in a cubical box of side length L, and you are trying to find the wave number of what? My first impression was that you might have confused some of these variable names.