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Observing Nonclassical Paths by Measuring Bohmian Velocities in Multi-Slit Interferometer with Electron

Quantum Physics 2016-10-28 v2

Abstract

Superposition principle of wave function in multi-slit interference experiment has been widely accepted by many quantum mechanics textbooks, however the expression ψAB=ψA+ψB{\psi _{AB}} = {\psi _A} + {\psi _B} does not strictly hold. The non-classical paths in Feynman path integral provide an explanation to the multi-path interference effect, and can be used to quantitatively analyse the multi-slit interference effect. In this work, we apply quantities in Bohmian mechanics to the measurement of multi-order interference by analysing the contribution of non-classical paths to Bohmian velocity in electron's multi-slit interferometer. The result shows that the non-classical paths effect will cause a relative deviation of 10310^{-3} in electron's Bohmian velocity, which is observable by doing weak measurement similar to previous work.

Cite

@article{arxiv.1610.00102,
  title  = {Observing Nonclassical Paths by Measuring Bohmian Velocities in Multi-Slit Interferometer with Electron},
  author = {Xiuzhe Luo and Zhiyuan Wei and Yongjian Han and Chuanfeng Li and Guangcan Guo},
  journal= {arXiv preprint arXiv:1610.00102},
  year   = {2016}
}
R2 v1 2026-06-22T16:07:28.499Z