Images of point charges in conducting ellipses and prolate spheroids

DOI10.1063/5.0054384zbMath1498.78010arXiv2003.13544OpenAlexW3197176000MaRDI QIDQ5154277

Matt Majic

Publication date: 4 October 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13544

zbMATH Keywords

images of point charges

Mathematics Subject Classification ID

Motion of charged particles (78A35) Electro- and magnetostatics (78A30)

Uses Software

• DLMF

Cites Work

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• On the classical Dirichlet problem in the plane with rational data
• Image theory for Neumann functions in the prolate spheroidal geometry
• On the Neumann function and the method of images in spherical and ellipsoidal geometry
• On a relation between spherical and spheroidal harmonics
• On fractional calculus and fractional multipoles in electromagnetism
• Laplace’s equation for a point source near a sphere: improved internal solution using spheroidal harmonics
• Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions
• The conducting ring viewed as a wormhole
• THE MOMENT ON A SUBMERGED SOLID OF REVOLUTION MOVING HORIZONTALLY

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