A Complete Course on Theoretical Physics pp 163-274 | Cite as

# Electromagnetism

## Abstract

In this chapter, the way from experimental observations to Maxwell’s equations is laid out. Special attention is put at the behavior of the various fields at interfaces. Aberration and the Doppler effect is discussed in connection with the covariance of the Maxwell equations. Included is also a section on the relativistic Lagrangian mechanics of massless and of massive particles, the latter also under the influence of external forces, not always found in other textbooks. Another section deals with the classical Hamiltonian formalism for fields; this is also basic to the theory of condensed matter, but here is paving the grounds for quantum-mechanical field theories. Applications are presented for accelerated point charges, oscillating dipoles, brems and synchrotron radiation. There is a list of 41 problems.

## Supplementary material

## References

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