On Maxwell's electrodynamics in two spatial dimensions

Abstract

We discuss the construction of Maxwellian electrodynamics in 2+1 dimensions and some of its applications. Special emphasis is given to the problem of the retarded potentials and radiation, where substantial differences with respect to the usual three-dimensional case arise. These stem from the general form of the solutions of the wave equation in two dimensions, which we discuss using the Green's function method. We believe the topics presented here could be stimulating additions to an advanced electrodynamics course at the undergraduate level.

18 pages. Additional discussion. Results unchanged. Matches version to be published

Cited by in corpus (9)

• Covariant fracton gauge theory with boundary
• On quasilinear Maxwell equations in two dimensions
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
• Dimensional reduction of the Dirac theory
• Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates
• Light propagation in (2+1)-dimensional electrodynamics: the case of nonlinear constitutive laws
• A zero-curvature representation of electromagnetism and the conservation of electric charge
• Dimensional reduction of electromagnetism