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

Author:

Novikov Ivan1ORCID

Affiliation:

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

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Feynman checkers: External electromagnetic field and asymptotic properties;Reviews in Mathematical Physics;2024-04-13

2. Feynman checkers: lattice quantum field theory with real time;Analysis and Mathematical Physics;2024-04-09

3. Feynman checkers: Number-theoretic properties;Reviews in Mathematical Physics;2023-07-21

4. FEYNMAN CHECKERS WITH HALF TIME;SIB ELECTRON MATH RE;2023

5. Feynman checkers: towards algorithmic quantum theory;Russian Mathematical Surveys;2022

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