Vector boson oscillator in the spiral dislocation spacetime

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

“…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].…”

“…Now, let we introduce the oscillator coupling. Relativistic spin-1 oscillator can be introduced through non-minimal substitutions that read as [26] ∂…”

“…It is shown that the well-known relativistic wave equations for spinning particles and the fully-covariant many-body Dirac equation can be derived through the quantization of the classical spinning particle with zitterbewegung as different possible quantum states of the same classical system [1]. Barut has shown us that the covariant spin-1 equation can be derived as an excited state of zitterbewegung through applying the same quantization procedure provided that the spinor is a symmetric spinor of rank-two and it is also shown that this equation corresponds to spin-1 sector of the DKP equation in 2+1 dimensions [1][2][3][4]. We know that one of the exactly solvable systems in non-relativistic quantum mechanics is the linear harmonic oscillators which can be described through by adding quadratic interaction potential into the free Schrodinger hamiltonian [5].…”

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

“…The well-known DKP equation's spin-1 sector in three dimensions corresponds to the spin-1 equation, which was obtained as an excited state of Zitterbewegung [2][3][4][5]. This spin-1 equation includes a reducible spinor and yields 3× 3 dimensional matrix equation in any 2+1 dimensional spacetime [6,7]. 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].…”

“…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].…”