PDM relativistic quantum oscillator in Einstein-Maxwell-Lambda space-time

Abstract

In this analysis, we study the dynamics of quantum oscillator fields within the context of a position-dependent mass (PDM) system situated in an Einstein-Maxwell space-time, incorporating a non-zero cosmological constant. The magnetic field is aligned along the symmetry axis direction. To analyze PDM quantum oscillator fields, we introduce a modification to the Klein-Gordon equation by substituting the four-momentum vector $p_{\mu }\to (p_{\mu }+i\eta X_{\mu }+i{\mathcal{F}}_{\mu })$ into the Klein-Gordon equation, where the four-vector is defibed by $X_{\mu }=(0,r,0,0)$, ${\mathcal{F}}_{\mu }=(0,{\mathcal{F}}_r,0,0)$ with ${\mathcal{F}}_r=\frac{f^{\prime }(r)}{4f(r)}$, and $\eta$ is the mass oscillator frequency. The radial wave equation for the relativistic modified Klein-Gordon equation is derived and subsequently solved for two distinct cases: (i) $f(r)=e^{\frac{1}{2}\alpha r^2}$, and (ii) $f(r)=r^{\beta }$, where $\alpha \ge 0,\beta \ge 0$. The resultant energy levels and wave functions for quantum oscillator fields are demonstrated to be influenced by both the cosmological constant and the geometrical topology parameter which breaks the degeneracy of the energy spectrum. Furthermore, we observed noteworthy modifications in the energy levels and wave functions when compared to the results derived in the flat space background.

References in corpus (18)

• Magnetic processes in a collapsing dense core. I Accretion and Ejection
• A magnetically collimated jet from an evolved star
• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• Charging axisymmetric space-times with cosmological constant
• Magnetic fields in planetary nebulae and post-AGB nebulae
• Magnetorotational collapse of very massive stars to black holes in full general relativity
• Effect of Angular Momentum Alignment and Strong Magnetic Fields on the Formation of Protostellar Disks
• Bonnor-Melvin universe with a cosmological constant
• PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• The role of initial magnetic field structure in the launching of protostellar jets
• Comment on "Position-dependent effective mass Dirac equations with PT- symmetric and non - PT- symmetric potentials" [J. Phys. A: Math. Gen. 39 (2006) 11877--11887]
• On the origin of magnetic fields in stars II: The effect of numerical resolution
• Cosmological magnetic field---the boost-symmetric case
• Quantum dynamics of spin-0 particles in a cosmological space-time
• Impact of magnetic fields on Population III star formation
• Magnetic fields and young stellar objects in cometary cloud LDN 1616

Cited by in corpus (1)

• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time