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math-ph2022★ 1 cited
Trajectories of charged particles in knotted electromagnetic fields
Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa
We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with…
math-ph2021★ 2 cited
Conserved charges for rational electromagnetic knots
Lukas Hantzko, Kaushlendra Kumar, Gabriel Picanço Costa
We revisit a newfound construction of rational electromagnetic knots based on the conformal correspondence between Minkowski space and a finite -cylinder. We present here a mo…