Aharonov-Casher effect for spin one particles in a noncommutative space

TL;DR

This paper extends the calculation of the Aharonov-Casher phase to spin one particles in a noncommutative space using the Kemmer equation, revealing non-trivial corrections and suggesting a generalized formula for higher spins.

Contribution

It introduces a novel calculation of the AC phase for spin one particles in noncommutative space using the Kemmer equation, expanding previous work on spin 1/2 particles.

Findings

Holonomy receives non-trivial kinematical corrections

Comparison with spin 1/2 case suggests a generalized correction formula

Provides new insights into topological phases for higher-spin particles

Abstract

In this work the Aharonov-Casher (AC) phase is calculated for spin one particles in a noncommutative space. The AC phase has previously been calculated from the Dirac equation in a noncommutative space using a gauge-like technique [17]. In the spin-one, we use kemmer equation to calculate the phase in a similar manner. It is shown that the holonomy receives non-trivial kinematical corrections. By comparing the new result with the already known spin 1/2 case, one may conjecture a generalized formula for the corrections to holonomy for higher spins.