Solution of the two identical ion Penning trap final state
arXiv:physics/0103077 · doi:10.1103/PhysRevA.64.055401
Abstract
We have derived a closed form analytic expression for the asymptotic motion of a pair of identical ions in a high precision Penning trap. The analytic solution includes the effects of special relativity and the Coulomb interaction between the ions. The existence and physical relevance of such a final state is supported by a confluence of theoretical, experimental and numerical evidence.
5 pages and 2 figures