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Gravitational Effects on a Position-Dependent Mass Quantum Particle in Eddington-Inspired Born-Infeld Spacetime

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Abstract

In the present work, we study the quantum dynamics of a scalar particle in a Born-Infeld theory with the topological defect global monopole. We begin with the investigation of an electrically charged scalar particle, subjected to a Klein-Gordon oscillator (KGO) whose mass is being modified by an inverse square type potential. Analytically, we obtain solutions of bound states, where we explicit the energy spectrum for the ground state and its corresponding eigenfunction. Subsequently, in order to generalize our system, we insert an external field that provides a quantum magnetic flux and determine the lowest energy allowed values of this system, which are influenced by the Aharanov-Bohm effect for bound states.

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Data Availability Statement This manuscript has no associated data or the data will not be deposited. (Authors’ comment: This is a theoretical study and no experimental data has been listed.

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Acknowledgements

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

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Authors and Affiliations

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

    C. F. S. Pereira & H. Belich

  2. Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa Guamá, 66075-110, Belém, PA, Brazil

    R. L. L. Vitória

  3. Instituto Federal de Educação Ciência e Tecnologia do Maranhão, Campus Buriticupu, CEP 65393-000, Buriticupu, Maranhăo, Brazil

    A. R. Soares

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  1. C. F. S. Pereira
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  2. R. L. L. Vitória
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  3. A. R. Soares
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  4. H. Belich
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Contributions

The first author did all the mathematical development and produced the graphs and their interpretations; the second author revised and reproduced the entire mathematical development, as well as writing a part of the introduction, discussing the results obtained and writing the conclusion; the third author wrote another part of the introduction; the fourth author revised the writing and mathematical development, in addition to some grammatical and physical interpretation corrections.

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Correspondence to C. F. S. Pereira.

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Pereira, C.F.S., Vitória, R.L.L., Soares, A.R. et al. Gravitational Effects on a Position-Dependent Mass Quantum Particle in Eddington-Inspired Born-Infeld Spacetime. Int J Theor Phys 62, 225 (2023). https://doi.org/10.1007/s10773-023-05479-6

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