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Semiclassical Approach of Lorentz Symmetry Breaking Effects at a Low Energy Scenario

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Abstract

From backgrounds of the Lorentz symmetry breaking implemented by the tensor \(\left (K_{F}\right )_{\mu \nu \alpha \beta }\), we analyze the effects of the Lorentz symmetry violation at a low energy scenario from a semiclassical point of view by using the Wentzel, Kramers and Brillouin approximation. We show that the interaction of a neutral particle with electric and magnetic fields in the background defined by the tensor \(\left (K_{F}\right )_{\mu \nu \alpha \beta }\) yields attractive scalar potentials, and thus, bound state solutions to the Schrödinger equation can be obtained.

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Acknowledgments

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

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  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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  1. K. Bakke
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Bakke, K., Belich, H. Semiclassical Approach of Lorentz Symmetry Breaking Effects at a Low Energy Scenario. Int J Theor Phys 59, 2901–2911 (2020). https://doi.org/10.1007/s10773-020-04550-w

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