Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential

Abstract

The Aharonov-Bohm (AB) problem for vector bosons by the Duffin-Kemmer-Petiau (DKP) formalism is analyzed. Depending on the values of the spin projection, the relevant eigenvalue equation coming from the DKP formalism reveals an equivalence to the spin-$1/2$ AB problem. By using the self-adjoint extension approach, we examine the bound state scenario. The energy spectra are explicitly computed as well as their dependencies on the magnetic flux parameter and also the conditions for the occurrence of bound states.

7 pages

References in corpus (10)

• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Noninertial effects on the quantum dynamics of scalar bosons
• Quantum dynamics of scalar bosons in a cosmic string background
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
• Two-dimensional Chern semimetals on the Lieb lattice
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations
• On Aharonov-Casher bound states
• Nucleon Statistics in Holographic QCD : Aharonov-Bohm Effect in a Matrix Model

Cited by in corpus (4)

• Spin-zero system of DKP equation in the background of a flat class of Gödel-type space-time
• Photon in the Earth-ionosphere cavity: Schumann resonances
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction