KG- oscillators in a spinning cosmic string spacetime and an external magnetic field

Abstract

We study the Klein-Gordon (KG) oscillators in a spinning cosmic string spacetime and an external magnetic field. The corresponding KG-equation is shown to admit a solution in the form of the confluent hypergeometric functions/polynomials. Consequently, the corresponding energies are shown to be given in a quadratic equation of a delicate nature that has to be solved in an orderly manner (for it involves the energies for KG-particles/antiparticles, $E=E_{\pm }=\pm \left|E\right|$ along with the magnetic quantum number $m=m_{\pm }=\pm |m|$). Following a case-by-case strategy allowed us to clearly observe the effects of the spinning cosmic string on the spectroscopic structure of the KG-oscillators. We have observed that, under some parametric settings, whilst the Landau-like energies of the KG-particles ($E=E_{+}$), with $m=m_{+}$, have no explicit dependence on the spinning string parameter or wedge parameter $\alpha$, the KG-antiparticles ($E=E_{-}$), with $m=m_{-}$, have such explicit dependence. Interestingly, the co-existence of a spinning cosmic string and external magnetic field eliminates the effect of the wedge parameter ( a byproduct of the string) for KG-particles ($E=E_{+}$), with $m=m_{+}$, but not for the KG-antiparticles ($E=E_{-}$), with $m=m_{-}$. Such co-existence is observed to break the symmetry of the energies of the KG-particles and antiparticles about $E=0$ for KG-oscillators. However, for KG-particles ($E=E_{+}$), with $m=m_{-}$, and KG-antiparticles ($E=E_{-}$), with $m=m_{+}$, are observed to be unfortunate for being indeterminable. Moreover, for the spinning parameter $\beta >>1$, clustering of the energy levels is observed eminent to indicate that there is no distinction between energy levels at such values of $\beta$.

12 pages, 3 figures

References in corpus (23)

• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Quantum Spacetime Phenomenology
• Extension of the Cosmic-Ray Energy Spectrum Beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff
• Gravity's Rainbow
• Small-scale anisotropy of cosmic rays above 10^19eV observed with the Akeno Giant Air Shower Array
• Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
• Doubly-Special Relativity: First Results and Key Open Problems
• Thermodynamics of modified black holes from gravity's rainbow
• Detection of a Far IR Excess with DIRBE at 60 and 100 Microns
• Exact Solutions of the Klein-Gordon Equation in the Presence of a Dyon, Magnetic Flux and Scalar Potential in the Specetime of Gravitational Defects
• New Observational Bounds to Quantum Gravity Signals
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Falsifiable predictions from semiclassical quantum gravity
• Quantum Time Uncertainty in a Gravity's Rainbow Formalism
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity