The HMW effect in Noncommutative Quantum Mechanics

Abstract

The HMW effect in non-commutative quantum mechanics is studied. By solving the Dirac equations on non-commutative (NC) space and non-commutative phase space, we obtain topological HMW 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.

8 Latex pages

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Cited by in corpus (10)

• A comparative review of four formulations of noncommutative quantum mechanics
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• The Aharonov-Casher effect for spin-1 particles in non-commutative quantum mechanics
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates
• The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics
• An Alternative Formulation of Hall Effect and Quantum Phases in Noncommutative Space
• Deformed "Commutative" Chern - Simons System