Around a theorem of F. Dyson and A. Lenard: Energy Equilibria for Point Charge Distributions in Classical Electrostatics

Fuente: arXiv
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Main Authors: Abanov, Artem, Hayford, Nathan, Khavinson, Dmitry, Teodorescu, Razvan
Format: Preprint
Published: 2020
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author Abanov, Artem
Hayford, Nathan
Khavinson, Dmitry
Teodorescu, Razvan
author_facet Abanov, Artem
Hayford, Nathan
Khavinson, Dmitry
Teodorescu, Razvan
contents We discuss several results in electrostatics: Onsager's inequality, an extension of Earnshaw's theorem, and a result stemming from the celebrated conjecture of Maxwell on the number of points of electrostatic equilibrium. Whenever possible, we try to provide a brief historical context and references.
format Preprint
id arxiv_https___arxiv_org_abs_2003_07751
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Around a theorem of F. Dyson and A. Lenard: Energy Equilibria for Point Charge Distributions in Classical Electrostatics
Abanov, Artem
Hayford, Nathan
Khavinson, Dmitry
Teodorescu, Razvan
Mathematical Physics
Complex Variables
Classical Physics
We discuss several results in electrostatics: Onsager's inequality, an extension of Earnshaw's theorem, and a result stemming from the celebrated conjecture of Maxwell on the number of points of electrostatic equilibrium. Whenever possible, we try to provide a brief historical context and references.
title Around a theorem of F. Dyson and A. Lenard: Energy Equilibria for Point Charge Distributions in Classical Electrostatics
topic Mathematical Physics
Complex Variables
Classical Physics
url https://arxiv.org/abs/2003.07751