Relativistic quantum oscillators in the global monopole spacetime

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 characterized 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.

21 pages, 6 figures, accepted for publication in EPJC

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Cited by in corpus (33)

• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
• Topological Effects on Non-Relativistic Eigenvalue Solutions Under AB-Flux Field with Pseudoharmonic- and Mie-type Potentials
• Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
• Quantum dynamics of spin-0 particles in a cosmological space-time
• Quadratic Time-dependent Quantum Harmonic Oscillator
• Klein-Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis-Bronnikov type Wormhole
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• PDM relativistic quantum oscillator in Einstein-Maxwell-Lambda space-time
• From elasticity tetrads to rectangular vielbein
• Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time
• On the supersymmetry of the Klein-Gordon oscillator
• Vielbein with mixed dimensions and gravitational global monopole in the planar phase of superfluid ${}^3$He
• Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality
• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Rotational and inverse square potential effects on harmonic oscillator confined by flux field in a space-time with screw dislocation
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background
• On the Klein-Gordon scalar field oscillators in a spacetime with spiral-like dislocations in external magnetic fields
• KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Cornell and Coulomb potentials in the double defect spacetime
• Light propagation and quasinormal modes of a topologically charged Schwarzschild-Klinkhamer wormhole
• The Dirac oscillator in the curved spacetime of a cloud of strings
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry
• Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"