Application of the argument principle to Maxwell's Conjecture for three point charges: An International Journal

Ronen Peretz

doi:10.1080/17476933.2011.611939

Application of the argument principle to Maxwell's Conjecture for three point charges: An International Journal

Ronen Peretz

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

J.C. Maxwell conjectured that if n positive charges, ξ_j, 1 ≤ j ≤ n, are located in ℝ³ at n points, 1 ≤ j ≤ n, then the number of equilibrium points of the electrostatic potential they generate is finite and contains at most (n-1)² points [J.C. Maxwell, A Treatise on Electricity and Magnetism, Vol. 1 (Republication of the 3rd revised edition) Dover Publ. Inc., New York, 1954].

Original language	American English
Pages (from-to)	715-725
Number of pages	11
Journal	Complex Variables and Elliptic Equations
Volume	58
Issue number	5
DOIs	https://doi.org/10.1080/17476933.2011.611939
State	Published - 1 May 2013

Keywords

Maxwell's conjecture
argument principle

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2011.611939

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Application of the argument principle to Maxwell's Conjecture for three point charges: An International Journal

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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