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Torsion effects on a relativistic position-dependent mass system

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Abstract

We analyse a relativistic scalar particle with a position-dependent mass in a spacetime with a space-like dislocation by showing that relativistic bound states solutions can be achieved. Further, we consider the presence of the Coulomb potential and analyse the relativistic position-dependent mass system subject to the Coulomb potential in the spacetime with a space-like dislocation. We also show that a new set of relativistic bound states solutions can be obtained, where there also exists the influence of torsion of the relativistic energy levels. Finally, we investigate an analogue of the Aharonov–Bohm effect for bound states in this position-dependent mass in a spacetime with a space-like dislocation.

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Acknowledgments

The authors would like to thank the Brazilian agencies CNPq and CAPES for financial support.

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

    R. L. L. Vitória & K. Bakke

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  1. R. L. L. Vitória
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  2. K. Bakke
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Correspondence to K. Bakke.

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Vitória, R.L.L., Bakke, K. Torsion effects on a relativistic position-dependent mass system. Gen Relativ Gravit 48, 161 (2016). https://doi.org/10.1007/s10714-016-2156-9

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