This textbook introduces advanced classical electrodynamics using modern mathematical
techniques, with an emphasis on physical concepts. Connections to field theory and general …

Аннотация В калибровке Кулона рассчитаны потенциалы поля произвольного
распределения зарядов и токов. Показано, что векторный потенциал определяется не …

Though sufficient for local conservation of charge, we show that Maxwell's displacement
current is not necessary. An alternative to the Ampere–Maxwell equation is exhibited and …

In the Hamiltonian dynamics of a charged particle, the Hamiltonian (and Lagrangian) H=
Umech+ qV, where Umech is the “mechanical” energy of the particle, q is its electric charge …

We argue that the definition of the thermodynamic work done on a charged particle by a time-
dependent electromagnetic field (EMF) is an open problem, because the particle's …

On the use of projection operators in electrodynamics - IOPscience Skip to content IOP
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The Helmholtz decomposition (1)-(2) is an artificial split of the vector field E into two parts,
which parts have interesting mathematical properties. We recall that in electrodynamics the …

In 1878, Darboux [4] noted that there is a constant of the motion in the interaction of an
electric charge with a magnetic pole (approximated as the tip of a long, axially magnetized …

To understand gauge transformations or gauge invariance in classical electrodynamics, it is
essential that we have detailed knowledge of the vector and the scalar potentials. In general …

Starting from Coulomb gauge scheme, we can eliminate the instant Coulomb force and
replace it by propagating retarded Coulomb force field, in the realm of classical …