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Solution of the Schrödinger Equation for Four Specific Problems

  • Rolf E. Hummel

Abstract

At first we solve the Schrödinger equation for a simple but nevertheless very important case. We consider electrons which propagate freely, that is, in a potential free space in the positive x direction. The potential energy V is then zero and the Schrödinger equation (3.1) assumes the following form:
$$ \frac{{{d^2}\psi }}{{d{x^2}}} + \frac{{2m}}{{{\hbar ^2}}}E\psi = 0$$
(4.1)
.

Keywords

Potential Barrier Free Electron Potential Distribution Electron Wave Bloch Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Rolf E. Hummel
    • 1
  1. 1.Department of Materials Science and EngineeringUniversity of FloridaGainesvilleUSA

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