On classical and quantum effects at scattering of fast charged particles in ultrathin crystal

TL;DR

This paper compares classical and quantum scattering of fast charged particles in ultrathin crystals, highlighting sharp maxima phenomena and the influence of beam divergence on experimental observation.

Contribution

It provides a detailed comparison of classical and quantum scattering effects in ultrathin crystals, emphasizing the differences in sharp maxima phenomena and experimental implications.

Findings

Classical scattering shows rainbow maxima.

Quantum scattering exhibits interference maxima from crystal plane interactions.

Quantum predictions can significantly differ from classical ones under certain parameters.

Abstract

Classical and quantum properties of scattering of charged particles in ultrathin crystals are considered. A comparison is made of these two ways of study of scattering process. In the classical consideration we remark the appearance of sharp maxima that is referred to the manifestation of the rainbow scattering phenomenon and in quantum case we show the sharp maxima that arise from the interference of single electrons on numerous crystal planes, that can be expressed in the terms of reciprocal lattice vectors. We show that for some parameters quantum predictions substantially differ from the classical ones. Estimated is the influence of the beam divergence on the possibility of experimental observation of the studied effects.