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

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

J.C. Maxwell conjectured that if n positive charges, ξj, 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 languageEnglish
Pages (from-to)715-725
Number of pages11
JournalComplex Variables and Elliptic Equations
Volume58
Issue number5
DOIs
StatePublished - 1 May 2013

Keywords

  • Maxwell's conjecture
  • argument principle

Fingerprint

Dive into the research topics of 'Application of the argument principle to Maxwell's Conjecture for three point charges: An International Journal'. Together they form a unique fingerprint.

Cite this