The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics

Abstract

The He-McKellar-Wilkens(HMW) effect for spin one neutral particle in non-commutative quantum mechanics is studied. By solving the Kemmer like equations on non-commutative (NC) space and non-commutative phase space, we obtain topological He-McKellar-Wilkens phase on NC space and NC phase space respectively, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.

10 pages

References in corpus (17)

• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Non-Commutative Quantum Mechanics
• Topological phase due to electric dipole moment and magnetic monopole interaction
• Aharonov-Bohm Effect in Noncommutative Spaces
• Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
• Fractional Angular Momentum in Noncommutative Space
• Testing spatial noncommutativiy via the Aharonov-Bohm effect
• Maxwell Duality, Lorentz Invariance, and Topological Phase
• The topological AC effect on noncommutative phase space
• The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics
• Noncommutative quantum mechanics and the Aharonov-Casher effect
• The HMW effect in Noncommutative Quantum Mechanics
• Representation of noncommutative phase space
• Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
• Aharonov-Casher effect for spin one particles in a noncommutative space
• The Topological AC and HMW Effects, and the Dual Current in 2+1 Dimensions
• Relativistic Aharonov-Casher Phase in Spin One

Cited by in corpus (2)

• Two-dimensional Noncommutative atom Gas with Anandan interaction
• ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{-}$ colliding in noncommutative space