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relativistic lorentz force

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4 - Review of Special Relativity: Lorentz Tensors
from Part I - General Properties of Fields; Scalars and Gauge Fields
Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
Book:

Classical Field Theory

Published online:

04 March 2019

Print publication:

14 March 2019, pp 36-45
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Summary

Here we review special relativity. We define the Lorentz group and Lorentz transformations; then the kinematics of special relativity, defining arbitrary tensors and various common ones; then the relativistic Lorentz force law, for the kinematics of special relativity. We define a relativistically covariant Lagrangian and invariant action for a particle and extend that to a coupling between a current and an electromagnetic gauge field.