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

Sine 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

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

Personalised recommendations