New particle model in extended space-time and covariantization of planar Landau dynamics

TL;DR

This paper presents a new ten-dimensional particle model invariant under Maxwell symmetry, which upon quantization reproduces planar Landau orbits in a magnetic field, extending relativistic particle dynamics.

Contribution

It introduces a Maxwell-invariant extended space-time model that generalizes relativistic particle theory and captures Landau dynamics through covariant formulation.

Findings

Model describes Landau orbits in a covariant framework

Extension to ten-dimensional Maxwell tensorial space

First quantization yields planar Landau dynamics

Abstract

We introduce the Maxwell-invariant extension of D=4 relativistic free particle model into ten-dimensional Maxwell tensorial space. The new model after first quantization describes in particular Lorentz frame the planar dynamics providing Landau orbits in the presence of constant magnetic field.