I = e n v
n is electron density/length; v is mean velocity
In 1D n=k/2p, assuming one electron per quantum state, so:
I = e ´ Dk/2 p ´ 2 p /h ´ (dE/dk)
=e2 DV ´ (dE/dk)-1 ´ (dE/dk)/h
I = DV (e2/h)
I = V/ 25,813 W
Conductance of the channel is quantized.