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Aharonov–Bohm-type effect in an attractive inverse-square potential induced by Lorentz symmetry breaking effects

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Abstract

We discuss the quantum effects on a neutral particle subject to an attractive inverse-square potential induced by effects of the Lorentz symmetry violation at a low energy scenario. We consider a background of the Lorentz symmetry violation determined by a time-like four-vector and a field configuration of crossed electric and magnetic fields. We show a particular case where bound state solutions can be obtained and an analogue of the Aharonov–Bohm effect for bound states exists.

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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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Authors and Affiliations

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

    K. Bakke

  2. Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras Vitória, ES, 29060-900, Brazil

    H. Belich

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Correspondence to K. Bakke.

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Bakke, K., Belich, H. Aharonov–Bohm-type effect in an attractive inverse-square potential induced by Lorentz symmetry breaking effects. Eur. Phys. J. Plus 135, 656 (2020). https://doi.org/10.1140/epjp/s13360-020-00682-4

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