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Suppose I want to solve the 1D, time-independent Schrödinger-equation for a metal-semiconductor junction.
In the metal region the Schrödinger equation reads:
(p^2/2m + V)ψ = Eψ
In the semiconductor region the Schrödinger equation reads:
(p^2/2m* + V + ΔESM)ψ = Eψ
My question is: Is there a way to "integrate out" the metal region or replace by an appropriate boundary condition at the metal-semiconductor interface?
In the metal region the Schrödinger equation reads:
(p^2/2m + V)ψ = Eψ
In the semiconductor region the Schrödinger equation reads:
(p^2/2m* + V + ΔESM)ψ = Eψ
My question is: Is there a way to "integrate out" the metal region or replace by an appropriate boundary condition at the metal-semiconductor interface?