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Pedagogical applications of the one-dimensional Schrödinger's equation to proximity effect systems: Comparison of Dirichlet and Neumann boundary conditions
Pedagogical applications one-dimensional Schrö dinger's effect systems Dirichlet and Neumann boundary
2010/4/9
Proximity effect systems in superconducting films can be modeled by a one-dimensional Schr\"odinger equation. Several systems are studied using Dirichlet and Neumann boundary conditions. It is observe...
On polygonal domains with trigonometric eigenfunctions of the Laplacian under Dirichlet or Neumann boundary conditions
polygonal domains trigonometric eigenfunctions
2010/9/14
A classification of all polygonal domains possessing a complete set of trigonometric eigenfunctions of the Laplacian under either Dirichlet or Neumann boundary conditions is developed. Polygonal domai...