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Effects of Lorentz symmetry violation on a relativistic scalar particle in quantum systems

Faizuddin Ahmed

2021Europhysics Letters (EPL)12 citationsDOIOpen Access PDF

Abstract

Abstract In this paper, the relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor out of the Standard Model Extension is investigated. We see that the bound-state solutions of the modified Klein-Gordon equation can be obtained, and the spectrum of energy and the wave function depends on the Lorentz symmetry breaking parameters.

Topics & Concepts

PhysicsLorentz transformationScalar (mathematics)CPT symmetrySymmetry (geometry)Lorentz covarianceQuantum mechanicsQuantumLorentz factorRelativistic particleTensor (intrinsic definition)Relativistic wave equationsQuantum electrodynamicsWave functionEnergy spectrumSymmetry breakingScalar fieldClassical mechanicsMathematical physicsSpontaneous symmetry breakingRelativistic dynamicsExplicit symmetry breakingRelativistic quantum mechanicsFunction (biology)Spectrum (functional analysis)Quantum systemQuantum dynamicsScalar bosonFour-momentumQuantum field theoryScalar potentialQuantum fluctuationNoncommutative and Quantum Gravity TheoriesQuantum and Classical ElectrodynamicsQuantum Mechanics and Non-Hermitian Physics
Effects of Lorentz symmetry violation on a relativistic scalar particle in quantum systems | Litcius