The finite one-dimensional wire problem

1998/08/27 by Stefan Kehrein, Kehrein, Stefan, Christian Muenkel +4
Engineering · Physics and Astronomy · #Low-power high-performance VLSI design #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.stat-mech #physics.comp-ph #physics.ed-ph

paper · pdf · doi:10.48550/arxiv.physics/9808038

15 pages, LaTex, 9 figures: Nice exercise in classical electrostatics

arxiv created 1998/08/27 · arxiv updated 2009/11/30

Abstract

We discuss an elementary problem in electrostatics: What does the charge distribution look like for a free charge on a strictly one-dimensional wire of finite length? To the best of our knowledge this question has so far not been discussed anywhere. One notices that a solution of this problem is not as simple as it might appear at first sight.

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