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arXiv · 0901.2894

Pedagogical applications of the one-dimensional Schrödinger's equation to proximity effect systems: Comparison of Dirichlet and Neumann boundary conditions

P. R. Broussard
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Abstract

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 points to unusual behavior for solutions of Schrödinger's equation in certain potential wells and proximity effect systems.

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P. R. Broussard. 2009-01-19. Pedagogical applications of the one-dimensional Schrödinger's equation to proximity effect systems: Comparison of Dirichlet and Neumann boundary conditions. https://doi.org/10.1119/1.3078414

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