The He--McKellar--Wilkens effect for spin-1 particles on non-commutative space

By using star product method, the He--McKellar--Wilkens (HMW) effect for spin-one neutral particle on non-commutative (NC) space is studied. After solving the Kemmer-like equations on NC space, we obtain the topological HMW phase on NC space where the additional terms related to the space--space non-commutativity are given explicitly.