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Effects of Lorentz Symmetry Breaking and External Potential on a Relativistic Scalar Particle

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Submitted:

05 June 2021

Posted:

07 June 2021

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Abstract
In this paper, a relativistic scalar particle under Lorentz symmetry breaking effects in the presence of a scalar potential is investigated. We introduce the scalar potential by modifying the mass via transformation M → M+S(r) in the wave equation and analyze the behaviour of a scalar particle. We see that the analytical solution to the KleinGordon equation can be achieved, and the energy eigenvalues and the wave function depends on the Lorentz symmetry breaking parameters as well as potential
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