Computer-Generated Motion Pictures of One-Dimensional Quantum-Mechanical Transmission and Reflection Phenomena
A. GoldbergLawrence Radiation Laboratory, University of California, Livermore, CaliforniaHarry M. ScheyLawrence Radiation Laboratory, University of California, Livermore, CaliforniaJudah L. SchwartzScience Teaching Center, Massachusetts Institute of Technology, Cambridge, Massachusetts
1967en
ABI
Abstract
We describe the details involved in presenting the time development of one-dimensional quantum-mechanical systems in the form of computer-generated motion pictures intended for pedagogic purposes. Concentrating on reflection-transmission phenomena, we formulate the problem in terms of a Gaussian wave packet impinging on a square well or barrier and being reflected and transmitted. The wave equation is solved numerically by methods discussed in detail and photographs of the wave packet vs position at a variety of times and for a range of projectile energies are given.
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