Suppose I want to solve the 1D, time-independent Schrödinger-equation for a metal-semiconductor junction.(adsbygoogle = window.adsbygoogle || []).push({});

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 + ΔE_{SM})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?

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# I Schroedinger equation for metal / semiconductor

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