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Noninertial effects on nonrelativistic topological quantum scattering

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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.

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Notes

  1. Eq. (32), for \(\varpi =0\), is an alternative way of writing Eq. (5.25) of [39].

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Acknowledgements

We would like to thank CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brazil) for financial support.

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  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa-PB, 58051-900, Brazil

    H. F. Mota & K. Bakke

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  1. H. F. Mota
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Mota, H.F., Bakke, K. Noninertial effects on nonrelativistic topological quantum scattering. Gen Relativ Gravit 49, 104 (2017). https://doi.org/10.1007/s10714-017-2266-z

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