Noninertial effects on nonrelativistic topological quantum scattering

TL;DR

This paper studies how noninertial (rotating) reference frames affect quantum scattering of particles around cosmic strings, revealing modifications in phase shifts, wave functions, and scattering amplitudes due to noninertial effects and spacetime topology.

Contribution

It introduces a detailed analysis of noninertial effects on nonrelativistic quantum scattering in cosmic string spacetime, highlighting the combined influence of rotation and topology.

Findings

Phase shift has contributions from noninertial frame and cosmic string topology.

Incident wave and scattering amplitude depend on rotational frequency.

Noninertial effects modify scattering characteristics in cosmic string spacetime.

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.