ABSTRACT
This chapter aims to solve the problem of creating discrete, reversible systems of various equations of physics. The Schrodinger Equation involves both a first derivative with respect to time and a second derivative with respect to space. The chapter presents Ed Barton with the best starting point in what was to be his quest for the summer. He was to do a series of projects with the keystone being to find a beautiful, discrete and reversible version of the Schrodinger Equation. Ed Barton's immediate observation of the reversibility of that equation remains one of author's most striking memories of 18 years on the Massachusetts Institute of Technology faculty. Richard P. Feynman showed that by calculating the amplitude for the 0-Dimensional case in a perfectly time symmetric fashion, keeping to author's esthetic principle, then the values computed by the reversible difference equation exactly conserved the value of the amplitude.
