We can derive the fomula
V(r) = V(a) + (1/2)(d^2V/dr^2)(r-a)^2 + ...
as follow:
We write
V(r) = V(r - a + a)
where a is the equilibrium position of a particle. We assume that the displacement of the particle with respect to the equilibrium position is very small, so we can expand...
Time-dependent DFT can describe quantum transport in some molecular devices.
For traditional FET, my last post can be the answer, in this case, DFT is very tough!