New particle model in extended space-time and covariantization of 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.

LaTeX, 16 p. Slightly extended version which will appear in Physics Letters B

References in corpus (5)

• Generalized cosmological term from Maxwell symmetries
• Expansions of algebras and superalgebras and some applications
• Deformations of Maxwell algebra and their Dynamical Realizations
• Gauged AdS-Maxwell algebra and gravity
• Local Maxwell symmetry and gravity

Cited by in corpus (10)

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• Generalized cosmological constant from gauging Maxwell-conformal algebra
• Maxwell group and HS field theory
• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• Gauging the Maxwell extended $\mathcal{G}\mathcal{L}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
• Cosmological application of the Maxwell gravity
• Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates