Aharonov–Bohm effect on the generalized Duffin–Kemmer–Petiau oscillator in the Som–Raychaudhuri spacetime

Abstract

The generalized Duffin–Kemmer–Petiau (DKP) oscillator with electromagnetic interactions in the curved spacetimes is investigated. We introduce firstly the generalized DKP oscillator in Som–Raychaudhuri spacetime with Cornell potential. Then, we consider the electromagnetic interactions into the generalized DKP oscillator. The energy eigenvalues and eigenfunction of our problem are obtained. The effects from the parameters of spacetime, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find an analog effect for the bound states from the Aharonov–Bohm effect in our considered system.

Effects of Quantum Flux Field on Generalized Duffin-Kemmer-Petiau Oscillator in Conical Space-Times and Thermodynamic Properties

“…The DKP oscillator is characterized by replacing the momentum vector p → ( p+i M ω η 0 r) [31] in the DKP equation, where ω represents the oscillator frequency, η 0 = 2 (β 0 ) 2 − 1 , and r denotes the radial distance of the particle from the symmetry axis. The DKP oscillator equation has been analyzed in several contexts, including: cosmic string space-time [32], non-inertial effects in cosmic string space-time [33], minimal length effects [34,35], noncommutative phase space [36,37,38,39], Dunkl derivative context [40], linear interaction in cosmic string space-time [41], spinning cosmic string space-time [42], presence of Coulomb potential in cosmic string space-time in 2D [43,44], one-dimensional systems [45], cosmic screw dislocation background [46], background space-time around a chiral cosmic string [47], Som-Raychaudhuri space-time [48], topologically trivial space-time in 4D [49]. Furthermore, the generalized oscillator of the DKP equation has also been thoroughly investigated in the literature, with notable examples including: generalized Kemmer oscillator in a cosmic string background under a magnetic field in 1 + 2 dimensions [50], generalized Kemmer oscillator in 1D [51], generalized DKP oscillator with linear, Coulomb, and Cornell potential functions in a cosmic string space-time [52], generalized DKP oscillator for spin-0 particles in a spinning cosmic string space-time [53], relativistic generalized boson oscillator in a chiral conical space-time background [54].…”

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

“…Effects of internal magnetic flux on the relativistic quantum mechanical systems were widely studied. Dynamics of DO in the presence of internal magnetic flux in a 2 + 1-dimensional Gödel-type background spacetime [21], linear confinement of a spin-0 oscillator interacting with a uniform magnetic field and Aharonov-Bohm potential [39], effect of internal magnetic flux on a generalized DO in the cosmic dislocation background geometry [40], interaction of a generalized Duffin-Kemmer-Petiau oscillator with an internal magnetic flux in the Som-Raychaudhuri background spacetime [41], Aharonov-Bohm effect on a charged scalar field in the screw dislocation background [42] can be considered among such investigations. In this contribution, we consider a charged relativistic spin-1 oscillator interacting with an internal magnetic flux in a 2 + 1-dimensional point-source generated spacetime and analyse the effect of such a magnetic flux on the relativistic spectra of the considered test field through obtaining non-perturbative solution of the corresponding covariant spin-1 equation.…”

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

“…In particular, in this contribution, we choose to deal with a superposition of two different configurations, due to their fundamental aspects: a uniform magnetic field, which is related to the raising of Landau levels in quantum systems, and an Aharonov-Bohm flux, since it provides a new significance to the role of the electromagnetic interactions in the quantum theory, which can be manifested even for bound states [73]. Besides, several analogs of the AB effect can emerge in spacetimes with topological defects [74][75][76].…”