Spin effects in electron vortex states
EMAT & CMT, University of Antwerp - Groenenborgerlaan 171, 2020 Antwerp, Belgium, EU
Received: 19 February 2013
Accepted: 17 May 2013
The recent experimental realization of electron vortex beams opens up a wide research domain previously unexplored. The present paper explores the relativistic properties of these electron vortex beams, and quantifies deviations from the scalar wave theory. It is common in electron optics to use the Schrödinger equation neglecting spin. The present paper investigates the role of spin and the total angular momentum Jz 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 momentum eigenstates in a transmission electron microscope. It is demonstrated that relativistic spin coupling effects disappear in the paraxial limit, and spin effects in holographically created electron vortex beams can only be exploited by using specialized magnetic apertures.
PACS: 03.65.Pm – Relativistic wave equations / 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Sq – Semiclassical theories and applications
© EPLA, 2013