Research PaperNo Access

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

Université Paris Dauphine-PSL, CEREMADE, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France

E-mail Address: i.novikov1998@gmail.com

https://doi.org/10.1142/S0129055X22500209Cited by:4 (Source: Crossref)

Abstract

We study Feynman checkers, the most elementary model of electron motion introduced by 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.

Keywords:

AMSC: 05A19, 81T25, 81T40, 82B20

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