Relativistic quantum oscillators in the global monopole spacetime
E. A. F. Bragança, R. L. L. Vitória, H. Belich, E. R. Bezerra de Mello
Abstract
Abstract We investigated the effects of the global monopole spacetime on the Dirac and Klein–Gordon relativistic quantum oscillators. In order to do this, we solve the Dirac and Klein–Gordon equations analytically and discuss the influence of this background, which is characterised by the curvature of the spacetime, on the energy profiles of these oscillators. In addition, we introduce a hard-wall potential and, for a particular case, determine the energy spectrum for relativistic quantum oscillators in this background.
Topics & Concepts
SpacetimePhysicsMagnetic monopoleDirac (video compression format)Dirac equationQuantum field theory in curved spacetimeKlein–Gordon equationCurvatureQuantumMinkowski spaceQuantum spacetimeEnergy spectrumClassical mechanicsMathematical physicsQuantum mechanicsQuantum gravityMathematicsGeometryNeutrinoNonlinear systemQuantum Electrodynamics and Casimir EffectNoncommutative and Quantum Gravity TheoriesQuantum Mechanics and Non-Hermitian Physics