# Deriving classical Hall effect from quantum Hall effect

I'm interested in the derivation of the classical Hall effect coefficient, given in cgs by $$R_{H}=-\frac{1}{nec},$$ where $$n$$ is the electron number density, $$-e<0$$ is the electron charge,and $$c$$ is the usual, ubiquitous velocity in Physics, from the fact that QHE provides the quantum of electrical conductance $$g=\frac{2e^{2}}{h},$$ where $$h$$ is Planck's constant, and the 2 comes from spin degeneracy.

Is there a convenient way to go from the quantum to the classical case for this problem?

• I assume, if you consider 3d system instead of 2d, you would get it. – physshyp May 6 at 10:24
• @physshyp What an extremely unhelpful comment. – user1717828 May 6 at 11:10