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Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field \(f^{\mu }\gamma ^{5}\) and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials

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Abstract

We study the Modified Pöschl-Teller potential, the Woods-Saxon potential and the harmonic oscillator potential under Lorentz symmetry violation effects caused by the coupling between the fixed vector field \(B^{\mu }=f^{\mu }\gamma ^{5}\) and the derivative of the fermionic field. We show that the Lorentz symmetry violation effects can influence the spectra of energy.

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Acknowledgements

The authors would like to thank CNPq for financial support.

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Authors and Affiliations

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

    K. Bakke

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

    H. Belich

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Bakke, K., Belich, H. Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field \(f^{\mu }\gamma ^{5}\) and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials. Int J Theor Phys 62, 114 (2023). https://doi.org/10.1007/s10773-023-05363-3

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