Ruben Van Boxem, Jo Verbeeck, Bart Partoens
The recent discovery of electron vortices opens up a wide research domain previously unexplored. The present paper explores the relativistic properties of these singular fermion beams, and quantifies deviations from classical wave theory. It is common in electron optics to use the Schr\"odinger equation neglecting spin. The present paper investigates the role of spin and the total angular momentum $J_z$ and how it pertains to the vortex states. As an application, we also investigate if it is possible to use holographic reconstruction to create novel total angular momen- tum eigenstates with a space-dependent spin polarization in a Transmission Electron Microscopy (TEM) setup. It is demonstrated that relativistic effects disappear in the paraxial limit, and spin effects in holographically created electron vortex beams can be safely ruled out.
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http://arxiv.org/abs/1302.4547
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