-supersymmetric quantum mechanics in a scenario with Lorentz-symmetry violation

2007/01/24 by H. Belich, T. Costa-Soares, J. A. Helayël-Neto +4 · 18 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #CPT symmetry #Classical mechanics #Lorentz covariance #Lorentz transformation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum statistical mechanics #Supersymmetric quantum mechanics #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physleta.2007.05.055

published in Physics Letters A 370(2), 126-130 (Elsevier BV) · 6 pages, no figures

arxiv created 2007/01/24 · openalex publication_date 2007/05/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Superfield realizations of Lorentz andCPTviolation
• Classical solutions in a Lorentz-violating Maxwell-Chern-Simons electrodynamics
• Upper Limit for the Anisotropy of Inertial Mass from Nuclear Resonance Experiments
• Double-resonance frequency shift in a hydrogen maser
• Lorentz-violating extension of the standard model
• CPTviolation and the standard model
• Review of particle properties