On the Noncommutative Feynman Problem

Acatrinei, Ciprian Sorin

doi:10.7546/giq-22-2021-35-42

VOL. 22 | 2021 On the Noncommutative Feynman Problem

Ciprian Sorin Acatrinei

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Geom. Integrability & Quantization, 2021: 35-42 (2021) DOI: 10.7546/giq-22-2021-35-42

Abstract

We extend the Feynman derivation of the Maxwell-Lorentz equations to the case in which coordinates do not commute, adding significantly to previous results. New dynamics is pinned down precisely both at the level of the homogeneous equations and for the Lorentz force, for which a complete derivation is given for the first time.