Intrinsic geometry of curves and the Bonnor's equation

J. L. López-Bonilla, G. A. Ovando Z, J. M. Rivera-Rebolledo

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The exact form of the paths of charged particles moving according to Bonnor's equation, for the case of constant electromagnetic field, is found. The method employed is fully relativistic and is based on systematic use of the Frenet-Serret equations which determine the world line geometry in Minkowskian space.

Original languageEnglish
Pages (from-to)43-55
Number of pages13
JournalProceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume107
Issue number1
DOIs
StatePublished - Feb 1997
Externally publishedYes

Keywords

  • Bonnor equation
  • Charged particle path
  • Constant electromagnetic field
  • Frenet-Serret formulae

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