Abraham Goldberg’s research while affiliated with Lawrence Livermore National Laboratory and other places

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (1)


Computer-Generated Motion Pictures of One-Dimensional Quantum-Mechanical Transmission and Reflection Phenomena
  • Article

March 1967

·

106 Reads

·

463 Citations

American Journal of Physics

Abraham Goldberg

·

Harry M. Schey

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.

Citations (1)


... Consequently, it makes a numerical approach used as an alternative to solving the Schrödinger equation. One method that can be used as a numerical solution to the Schrödinger equation is the Finite-Difference Time-Domain (FDTD), which was first developed in 1967 by Abraham Goldberg, Harry Schey, and Judah Schwartz [8]. This method employed discretization through the Finite-Difference method in both spatial and temporal domains for the Schrödinger equation. ...

Reference:

Simulation of Quantum Tunnelling in Semiconductors: Analysis of Barrier Thickness Variation through the High Order FDTD Method
Computer-Generated Motion Pictures of One-Dimensional Quantum-Mechanical Transmission and Reflection Phenomena
  • Citing Article
  • March 1967

American Journal of Physics