Abstract
We study the nonrelativistic limit of the motion of a classical particle and of the corresponding generalized Klein-Gordon and Dirac equations in a model of deformed special relativity, 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 the literature on deformed special relativity. Moreover, the rest masses of particles and antiparticles differ, violating the CPT invariance. This effect is close to observational limits and future experiments may give indications on its effective existence.
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