Effect of Magnetic Field on the Spectral Characteristics of Thermal Motion of Charged Particles in an Isotropic Trap

Resumo

Results are presented from analytical and numerical studies of the effect of a dc magnetic field on the spectral characteristics of thermal motion of charged particles in an isotropic electrostatic trap. An analytic expression for the spectral density of the shifts of the center of mass of the systems under study is obtained. The analytic expression is verified by numerically simulating ensembles with different numbers of particles interacting via the Coulomb potential in a wide range of parameters.