266 research outputs found
Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
We introduce a new term into the Dirac equation based on the Lorentz symmetry
violation background in order to make a theoretical description of the
relativistic quantum dynamics of a spin-half neutral particle, where the wave
function of the neutral particle acquires a relativistic Abelian quantum phase
given by the interaction between a fixed time-like 4-vector background and
crossed electric and magnetic fields, which is analogous to the geometric phase
obtained by Wei \textit{et al} [H. Wei, R. Han and X. Wei, Phys. Rev. Lett.
\textbf{75}, 2071 (1995)] for a spinless neutral particle with an induced
electric dipole moment. We also discuss the flux dependence of energy levels of
bound states analogous to the Aharonov-Bohm effect for bound states.Comment: 16 pages, no figure
N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
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.Comment: 6 pages, no figure
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