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This study sought to use Schr\"odigner's equation to model superconductingproximity effect systems of symmetric forms. As N. R. Werthamer noted, [Phys.Rev. \textbf{132} (6), 2441 (1963)] one to one analogies between the standardsuperconducting proximity effect equation and the one-dimensional,time-independent Schr\"odinger's equation can be made, thus allowing one tomodel the behavior of proximity effect systems of metallic film sandwiches bysolving Schr\"odinger's equation. In this project, film systems were modeled byinfinite square wells with simple potentials. Schr\"odinger's equation wassolved for sandwiches of the form $S(NS)_M$ and $N(SN)_M$, where $S$ and $N$represent superconducting and nonsuperconducting metal films, respectively, and$M$ is the number of repeated bilayers, or the period. A comparison of Neumannand Dirichlet boundary conditions was done in order to explore their effects.The Dirichlet type produced eigenvalues for $S(NS)_M$ and $N(SN)_M$ sandwichesthat converged for increasing $M$, but the Neumann type produced eigenvaluesfor the same structures that approached two different limits as $M$ increased.This last behavior is unexpected, as it implies a dependence upon the type offilm end layer.

A Pedagogical Extension of the One Dimensional Schr\"odinger's Equation to Symmetric Proximity Effect System Film Sandwiches