一维薛定谔方程在邻近效应系统中的教学应用：狄利克雷和诺依曼边界条件的比较
Pedagogical applications of the one-dimensional Schrödinger's equation to proximity effect systems: Comparison of Dirichlet and Neumann boundary conditions
摘要：
超导薄膜中的邻近效应系统可以用一维薛定谔方程来模拟。几个系统研究使用Dirichlet和Neumann边界条件。据观察，这两个边界条件对这些系统中允许的最低本征态有显着影响，并指出某些势阱和邻近效应系统中薛定谔方程解的异常行为。
英文摘要：
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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