Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time

Abstract

The generalized Duffin-Kemmer-Petiau (DKP) oscillator with electromagnetic interactions in the curved space-times are investigated. We introduce firstly the generalized DKP oscillator in Som-Raychaudhuri space-time 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 effect from the parameters of space-time, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find a analogs effect for the bound states from the Aharonov-Bohm effect in our considered system.

arXiv comment14 pages, 4 figures

References in corpus (20)

• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• The theory of quark confinement
• On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory
• Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Quantum dynamics of scalar bosons in a cosmic string background
• Arbitrary $\ell$-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials
• Dynamics and stability of the Godel universe
• Linear confinement of a scalar particle in a Gödel-type spacetime
• The DKP oscillator with a linear interaction in the cosmic string space-time
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Closed timelike curves and geodesics of Godel-type metrics
• Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
• Godel-Type Metrics in Various Dimensions
• Relativistic R matrix and continuum shell model
• Spectroscopy of the Dirac oscillator perturbed by a surface delta potential
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator
• Aharonov-Bohm-type effect in the background of a distortion of a vertical line into a vertical spiral
• Harmonic and Dirac oscillators in a (2+1)-dimensional noncommutative space

Cited by in corpus (6)

• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation
• Effect of internal magnetic flux on a relativistic spin-1 oscillator in the spinning point source-generated spacetime
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• Scalar and vector bosons in a Bonnor-Melvin-$\Lambda$ spacetime: an exact Duffin-Kemmer-Petiau analysis