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The electromagnetic field is described by classical electrodynamics, an example of a classical field theory. This theory describes many macroscopic physical phenomena accurately. [6] However, it was unable to explain the photoelectric effect and atomic absorption spectroscopy, experiments at the atomic scale.
If the matter field is taken so as to describe the interaction of electromagnetic fields with the Dirac electron given by the four-component Dirac spinor field ψ, the current and charge densities have form: [2] = † = †, where α are the first three Dirac matrices. Using this, we can re-write Maxwell's equations as:
Classical Electrodynamics is a textbook written by theoretical particle and nuclear physicist John David Jackson.The book originated as lecture notes that Jackson prepared for teaching graduate-level electromagnetism first at McGill University and then at the University of Illinois at Urbana-Champaign. [1]
Maxwell's theory of electromagnetism describes the interaction of charged matter with the electromagnetic field. The first formulation of this field theory used vector fields to describe the electric and magnetic fields. With the advent of special relativity, a more complete formulation using tensor fields was found. Instead of using two vector ...
The theory provides a description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible. For small distances and low field strengths, such interactions are better described by quantum electrodynamics which is a quantum field theory .
According to a 2023 lecture titled What Physicists Don't Know About Electromagnetism given by the theoretical physicist Hans Schantz [162] and based on the comparison of textbooks Electromagnetic Theory by Julius Stratton and Classical Electrodynamics by John Jackson, Schantz argues "today's physicists who are educated using curriculum out of ...
A theory of electromagnetism, known as classical electromagnetism, was developed by several physicists during the period between 1820 and 1873, when James Clerk Maxwell's treatise was published, which unified previous developments into a single theory, proposing that light was an electromagnetic wave propagating in the luminiferous ether. [26]
Galilean electromagnetism is a formal electromagnetic field theory that is consistent with Galilean invariance.Galilean electromagnetism is useful for describing the electric and magnetic fields in the vicinity of charged bodies moving at non-relativistic speeds relative to the frame of reference.