Scattering of Ions by Polarization Forces
Citations Over Time
Abstract
The interaction potential of a charge carrier and a gaseous atom is attractive at large distances, varying as ${r}^{\ensuremath{-}4}$. This potential has simple classical properties since it has a cross section which varies inversely as the speed. For most ions the mechanism which removes the singularity of the potential is irrelevant classically---we find that this is also the case in quantum theory: the well-known indeterminacy of the wave function for singular potentials can be removed in an obvious way and a cross section of the capture type can be computed. This cross section oscillates sinusoidally about its classical value but has apparently no average deviation over one cycle, even when the de Broglie wavelength is long. In the limit of low velocities, the quantum-mechanical cross section has twice the classical value. These two facts combine to make the classical law of variation of the cross section approximately valid even in the quantum range.
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