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Maxwell Equations and Lorentz Transformations

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A Primer in Tensor Analysis and Relativity

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

Maxwell’s equations were obtained by generalization of several empirical laws of electromagnetic phenomena, especially the Gauss law (an alternative form of Coulomb’s law), Ampère’s law, and Faraday’s law of induction. The complete, unified form of these equations credited to the British physicist James Clerk Maxwell (1831–1879), who published the theory of electromagnetic phenomena between 1855 and 1873. One of the main points in this development was that light has an electromagnetic origin.

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Notes

  1. 1.

    From the theoretical side, besides normal particles there may be other particles called tachyons, which move faster than light. We shall comment on some of their features below, after introducing the backgrounds of relativistic dynamics.

  2. 2.

    Due to the linearity of differentials, there is no need to indicate them here.

References

  1. J.D. Jackson, Classical Electrodynamics, 3rd edn. (Wiley, Hoboken, 1998)

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  2. D.J. Griffiths, Introduction to Electrodynamics, 4th edn. (Pearson, London, 2012)

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  3. L.D. Landau, E.M. Lifshits, The Classical Theory of Fields - Course of Theoretical Physics, vol. 2 (Butterworth-Heinemann, New York, 1987)

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Correspondence to Ilya L. Shapiro .

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Shapiro, I.L. (2019). Maxwell Equations and Lorentz Transformations. In: A Primer in Tensor Analysis and Relativity. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-26895-4_11

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