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Image charges revisited: a closed form solution

2000/11/06 by T. C. Choy, Choy, T. C.
Engineering · Materials Science · Physics and Astronomy · #Condensed Matter (cond-mat) #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #Machine Learning in Materials Science #Surface Chemistry and Catalysis #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0011092

17 pages, 1 Figure

arxiv created 2000/11/06 · openalex publication_date 2000/11/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate that the corrections to the classical Kelvin image theory due to finite electron screening length λ, recently discussed by Roulet and Saint Jean, Am. J. Phys. 68(4) 319, is amenable to an exact closed form solution in terms of an integral involving Bessel functions. An improper choice of boundary conditions is rectified as well, enabling also a complete solution for all potentials - both inside and outside the metal surface.

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