Proximity effect systems in superconducting films can be modeled by a one-dimensional Schrödinger equation. Several systems are studied using Dirichlet and Neumann boundary conditions. It is observed that the two boundary conditions have a dramatic effect on the lowest eigenstate allowed in these systems, and this points to unusual behavior for solutions of Schrödinger’s equation in certain potential wells and proximity effect systems.
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Reference 2 uses the absolute value of because materials with a repulsive electron interaction have negative values of . In this paper is assumed to be positive definite.
9.
We used the program Grapher on Mac OSX.
© 2009 American Association of Physics Teachers.
2009
American Association of Physics Teachers
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