Relativistic electron vortex beams: angular momentum and spin-orbit interaction.

@article{Bliokh2011RelativisticEV,
  title={Relativistic electron vortex beams: angular momentum and spin-orbit interaction.},
  author={Konstantin Y. Bliokh and Mark R. Dennis and Franco Nori},
  journal={Physical review letters},
  year={2011},
  volume={107 17},
  pages={
          174802
        }
}
Motivated by the recent discovery of electron vortex beams carrying orbital angular momentum (AM), we construct exact Bessel-beam solutions of the Dirac equation. They describe relativistic and nonparaxial corrections to the scalar electron beams. We describe the spin and orbital AM of the electron with Berry-phase corrections and predict the intrinsic spin-orbit coupling in free space. This can be observed as a spin-dependent probability distribution of the focused electron vortex beams… 

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