3 ms·
Indeed. Most texts stop at the 4-equation notation that has both electric (E) and magnetic (B) fields, but with a small extension it becomes a single equation,
by beagle3 11y ago
Indeed. Most texts stop at the 4-equation notation that has both electric (E) and magnetic (B) fields, but with a small extension it becomes a single equation, which is lorentz-invariant: https://en.wikipedia.org/wiki/Covariant_formulation_of_classical_electromagnetism#Maxwell.27s_equations_in_the_Lorenz_gauge https://en.wikipedia.org/wiki/Covariant_formulation_of_class... - I regard it as a much more fundamental and succinct description of how EM fields work.
- effie 11y agoThe covariant notation is concise and to some even elegant, but it is also less useful in practice. One often has to deal either with electric or magnetic field specifically as opposed to EM field tensor, and even if one does not need that, it is often possible and useful to work with only electric (or magnetic) component in 3D vector notation.