We consider a relativistic charged particle in background electromagnetic fields depending on both space and time. We identify which symmetries of the fields automatically generate integrals (conserved quantities) of the charge motion, accounting fully for relativistic and gauge invariance. Using this we present new examples of superintegrable relativistic systems. This includes examples where ...

The motion of a charged particle over a conducting plate is damped by Ohmic resistance to image currents. This interaction between the particle and the plate must also produce decoherence, which can be detected by examining interference patterns made by diffracted particle beams which have passed over the plate. Because the current densities within the plate decay rapidly with the height of the...

We describe a particle advance algorithm for particle-in-cell simulation of highly magnetized charged particles that relaxes the time step constraint due to cyclotron motion. The method preserves the correct cyclotron radius for large time steps and corrects for magnetic field gradients without requiring explicit calculation of the particle magnetic moment. Application of the algorithm is illus...

Abstract In the present paper, we investigate dynamics of magnetized particles around magnetically and electrically Reissner–Nordström (RN) black hole. The main idea work is to distinguish effects electric magnetic charges RN hole spin rotating Kerr through particles. this study, have treated a neutron star as test particle, in particular, magnetar SGR (PSR) J1745-2900 orbiting supermassive Sag...

We investigate electron and ion surface states of a negatively charged dust particle in a gas discharge and identify the charge of the particle with the electron surface density bound in the polarization-induced short-range part of the particle potential. On that scale, ions do not affect the charge. They are trapped in the shallow states of the Coulomb tail of the potential and act only as scr...

Using super Hamiltonian formalism, we study the motion of particles whose dispersion relations are modified to incorporate Hořava – Lifshitz type anisotropic scaling symmetry. We find the following as consequences of this modified dispersion relation: (i) The speed of a charged particle under a constant electric field grows without bound and diverges. (ii) The speed of a particle falling toward...