English

Double-slit experiment in momentum space

Quantum Physics 2018-01-18 v2 High Energy Physics - Phenomenology Optics

Abstract

Young's classic double-slit experiment demonstrates the reality of interference when waves and particles travel simultaneously along two different spatial paths. Here, we propose a double-slit experiment in momentum space, realized in the free-space elastic scattering of vortex electrons. We show that this process proceeds along two paths in momentum space, which are well localized and well separated from each other. For such vortex beams, the (plane-wave) amplitudes along the two paths acquire adjustable phase shifts and produce interference fringes in the final angular distribution. We argue that this experiment can be realized with the present day technology. We show that it gives experimental access to the Coulomb phase, a quantity which plays an important role in all charged particle scattering but which usual scattering experiments are insensitive to.

Keywords

Cite

@article{arxiv.1606.04732,
  title  = {Double-slit experiment in momentum space},
  author = {I. P. Ivanov and D. Seipt and A. Surzhykov and S. Fritzsche},
  journal= {arXiv preprint arXiv:1606.04732},
  year   = {2018}
}

Comments

6 pages, 3 figures; v2: extra clarifications, matches published versoin

R2 v1 2026-06-22T14:25:52.015Z