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Open Quantum Systems Decoherence

Rutherford scattering of electron vortices

arXiv
Authors: Ruben Van Boxem, Bart Partoens, Jo Verbeeck

Year

2013

Paper ID

31592

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

Abstract

By considering a cylindrically symmetric generalization of a plane wave, the first Born approximation of screened Coulomb scattering unfolds two new dimensions in the scattering problem: transverse momentum and orbital angular momentum of the incoming beam. In this paper, the elastic Coulomb scattering amplitude is calculated analytically for incoming Bessel beams. This reveals novel features occurring for wide angle scattering when the incoming beam is correctly prepared. The result successfully generalizes the well known Rutherford formula, incorporating transverse and orbital angular momentum into the formalism.

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  • By considering a cylindrically symmetric generalization of a plane wave, the first Born approximation of screened Coulomb scattering unfolds two new dimensions in the...

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