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

arXiv
Authors: P. R. Broussard

Year

2009

Paper ID

9223

Status

Preprint

Abstract Read

~2 min

Abstract Words

64

Citations

N/A

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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  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
  • It adds a 2009 reference point for readers tracking recent quantum research.
  • Proximity effect systems in superconducting films can be modeled by a one-dimensional Schrödinger equation.

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