Abstract
Some time ago I showed how the equations of motion of a free ion under the influence of a harmonic train of plane waves might be completely integrated, subject to the restriction that the viscous effect of radiation from the ion may be neglected. The equations are closely analogous to those for a simple pendulum, and by following out the analogy in the case where the pendulum makes complete revolutions, it is easy to show that while the passage of a complete wave restores the initial velocities of the ion, its position in space is altered. This change of position cannot be accounted for entirely by the change due to velocity which the ion may be assumed to possess before the wave reaches it.
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