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3 August 2021 Electromagnetic force and torque derived from a Lagrangian in conjunction with the Maxwell-Lorentz equations
Masud Mansuripur
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Proceedings Volume 11798, Optical Trapping and Optical Micromanipulation XVIII; 1179810 (2021) https://doi.org/10.1117/12.2595187
Event: SPIE Nanoscience + Engineering, 2021, San Diego, California, United States
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.
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Masud Mansuripur "Electromagnetic force and torque derived from a Lagrangian in conjunction with the Maxwell-Lorentz equations", Proc. SPIE 11798, Optical Trapping and Optical Micromanipulation XVIII, 1179810 (3 August 2021); https://doi.org/10.1117/12.2595187
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KEYWORDS
Electromagnetism
Quantum electrodynamics
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