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I Schroedinger equation for metal / semiconductor

  1. Oct 24, 2016 #1
    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?
     
  2. jcsd
  3. Oct 25, 2016 #2

    Simon Bridge

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    In general - no.
     
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