Quantum Law of Motion: Analysis and Extension to Higher Dimensions
A. Bouda, A. Gharbi

TL;DR
This paper reviews and extends quantum laws of motion to higher dimensions, applies them to charged particles in electric potentials, and explores their relativistic generalizations.
Contribution
It introduces extensions of quantum laws of motion to higher and relativistic dimensions and applies them to specific physical scenarios.
Findings
Determined which quantum law of motion fits charge in electric potentials.
Extended quantum laws to higher-dimensional and relativistic cases.
Provided analysis to decide between competing laws.
Abstract
In this paper, we review the recently formulated quantum laws of motion and provide new observations. We also extend these laws to higher dimensions. By applying in two dimensions the obtained relations to charge submitted to an electric central potential, we decide between these laws. Furthermore, we extend the selected law to the relativistic case in higher dimensions.
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