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