Noninertial effects on nonrelativistic topological quantum scattering

Abstract

We investigate noninertial effects on the scattering problem of a nonrelativistic particle in the cosmic string spacetime. By considering the nonrelativistic limit of the Dirac equation we are able to show, in the regime of small rotational frequencies, that the phase shift has two contribution: one related to the noninertial reference frame, and the other, due to the cosmic string conical topology. We also show that both the incident wave and the scattering amplitude are altered as a consequence of the noninertial reference frame and depend on the rotational frequency.

arXiv comment16 pages, no figure

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Cited by in corpus (3)

• Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time