Relativistic Vector Bosons with Non-minimal Coupling in the Spinning Cosmic String Spacetime

Effect of internal magnetic flux on a relativistic spin-1 oscillator

“…Recently, relativistic spin-1 oscillator has been introduced by adding non-minimal interaction term into the mentioned relativistic spin-1 equation and results of a few applications were announced [26][27][28]. It is shown that the results are in good agreement with the previously obtained results for the Dirac oscillator systems [29,30]. The other applications of the relativistic spin-1 equations can be found in the Refs.…”

“…This is because relativistic oscillator problems are exactly solvable systems in general in addition to the low-energy bound state problems [24,25] in Quantum Electrodynamics. Recently, relativistic spin-1 oscillator has been introduced by adding non-minimal interaction term into the mentioned relativistic spin-1 equation and results of a few applications were announced [26][27][28]. It is shown that the results are in good agreement with the previously obtained results for the Dirac oscillator systems [29,30].…”

Effects of Gravity’s Rainbow on a Relativistic Spin-1 Oscillator

“…In the current literature, we see that relativistic dynamics of the spin-0 bosons are studied through solving the spin-0 sector of the DKP equation [8] and the KG equation [9]. Due to the relative complexity, there is not much research based on the dynamics of spin-1 bosons in curved spaces [4][5][6][7]10]. The announced results have shown that the covariant VB equation can provide a strong basis to analyse the dynamics of relativistic spin-1 particles in any 2+1 dimensional spacetime [4][5][6][7]10].…”

“…Due to the relative complexity, there is not much research based on the dynamics of spin-1 bosons in curved spaces [4][5][6][7]10]. The announced results have shown that the covariant VB equation can provide a strong basis to analyse the dynamics of relativistic spin-1 particles in any 2+1 dimensional spacetime [4][5][6][7]10]. Furthermore, this equation was also used to analyse the quantum gravity effects on the Hawking temperature of three dimensional black holes [11,12].…”

Relativistic motions of spin-zero quantum oscillator field in a global monopole space-time with external potential and AB-effect

“… 47 . Other topological defects, such as cosmic strings which are one-dimensional linear defects have been studied in quantum system, for example, the Klein–Gordon oscillator in fifth-dimensional cosmic string space-time using the Kaluza–Klein theory 48 , the Klein–Gordon oscillator in a cosmic string space-time with an external magnetic field 49 , the Dirac field and oscillator in a spinning cosmic string 50 , the Dirac oscillator under the influence of non-inertial effects in cosmic string space-time 51 , the relativistic quantum dynamics of Klein–Gordon scalar fields subject to Cornell-type potential in a spinning cosmic-string space-time 52 , spin-zero bosons in an elastic medium with a screw dislocation 53 , the generalized DKP oscillator in a spinning cosmic string 54 , the generalized Klein–Gordon oscillator under a uniform magnetic field in a spinning cosmic string space-time 55 , the modified Klein–Gordon oscillator under a scalar and electromagnetic potentials in rotating cosmic string space-time 56 , the spin-0 DKP equation and oscillator with a Cornell interaction in a cosmic-string space-time 57 , the interaction of a Cornell-type non-minimal coupling with the scalar field under the topological defects 58 , the influence of topological defects space–time with a spiral dislocation on spin-0 bosons field (via the DKP equation formalism) 59 , and the generalized Klein–Gordon oscillator in fifth-dimensional cosmic string space-time without or with external potential in context of the Kaluza–Klein theory 60 – 62 , relativistic vector bosons with non-minimal coupling in the spinning cosmic string space-time 63 .…”