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Feynman checkers: the probability to find an electron vanishes nowhere inside the light cone

Mathematical Physics 2022-09-29 v1 Combinatorics math.MP

Abstract

We study Feynman checkers, the most elementary model of electron motion introduced by R. Feynman. For the model, we prove that the probability to find an electron vanishes nowhere inside the light cone. We also prove several results on the average electron velocity. In addition, we present a lot of identities related to the model.

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Cite

@article{arxiv.2010.05088,
  title  = {Feynman checkers: the probability to find an electron vanishes nowhere inside the light cone},
  author = {Ivan Novikov},
  journal= {arXiv preprint arXiv:2010.05088},
  year   = {2022}
}

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17 pages