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

TL;DR

This paper investigates the relativistic quantum behavior of vector bosons in an Aharonov-Bohm potential using the DKP formalism, revealing an equivalence to spin-1/2 particles and analyzing bound states and energy spectra.

Contribution

It introduces a novel analysis of vector bosons in AB potential via the DKP formalism, including bound state conditions and explicit energy spectrum calculations.

Findings

Eigenvalue equations depend on spin projection

Bound states occur under specific flux conditions

Energy spectra explicitly derived and flux-dependent

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.