Electromagnetic force and torque derived from a Lagrangian in conjunction with the Maxwell-Lorentz equations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Electromagnetic force and torque are typically derived from a stress tensor in conjunction with Maxwell's equations of classical electrodynamics. In some instances, the Principle of Least Action (built around a Lagrangian) can be used to arrive at the same mathematical expressions of force and torque as those derived from a stress tensor. This paper describes some of the underlying arguments for the existence of a Lagrangian in the case of certain simple physical systems. While some formulations of electromagnetic force and torque admit a Lagrangian, there are other formulations for which a Lagrangian may not exist.

Original languageEnglish (US)
Title of host publicationOptical Trapping and Optical Micromanipulation XVIII
EditorsKishan Dholakia, Gabriel C. Spalding
PublisherSPIE
ISBN (Electronic)9781510644342
DOIs
StatePublished - 2021
EventOptical Trapping and Optical Micromanipulation XVIII 2021 - San Diego, United States
Duration: Aug 1 2021Aug 5 2021

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11798
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceOptical Trapping and Optical Micromanipulation XVIII 2021
Country/TerritoryUnited States
CitySan Diego
Period8/1/218/5/21

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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