N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation

Abstract

We show in this paper that the dynamics of a non-relativistic particle with spin, coupled to an external electromagnetic field and to a background that breaks Lorentz symmetry, is naturally endowed with an N=1-supersymmetry. This result is achieved in a superspace approach where the particle coordinates and the spin degrees of freedom are components of the same supermultiplet.

6 pages, no figures

References in corpus (2)

• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment

Cited by in corpus (5)

• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension