The nonrelativistic limit of the Magueijo-Smolin model of deformed special relativity

2009/11/30 by M. Coraddu, S. Mignemi · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1209/0295-5075/91/51002

published as Europhys.Lett.91:51002,2010 · 10 pages, plain TeX. Discussion of generalized Dirac equation and CPT violation added

arxiv created 2010/07/09 · arxiv updated 2014/11/20

Abstract

We study the nonrelativistic limit of the motion of a classical particle in a model of deformed special relativity and of the corresponding generalized Klein-Gordon and Dirac equations, and show that they reproduce nonrelativistic classical and quantum mechanics, respectively, although the rest mass of a particle no longer coincides with its inertial mass. This fact clarifies the meaning of the different definitions of velocity of a particle available in DSR literature. Moreover, the rest mass of particles and antiparticles differ, breaking the CPT invariance. This effect is close to observational limits and future experiments may give indications on its effective existence.

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• Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations

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