Solution of the two identical ion Penning trap final state

Physics – Atomic Physics

Scientific paper

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5 pages and 2 figures

Scientific paper

10.1103/PhysRevA.64.055401

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.

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