The topological AC effect on noncommutative phase space

Abstract

The Aharonov-Casher (AC) effect in non-commutative(NC) quantum mechanics is studied. Instead of using the star product method, we use a generalization of Bopp's shift method. After solving the Dirac equations both on noncommutative space and noncommutative phase space by the new method, we obtain the corrections to AC phase on NC space and NC phase space respectively.

8 pages, Latex file

References in corpus (14)

• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Noncommutative Open String and D-brane
• 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
• Hall Effect in Noncommutative Coordinates
• Testing spatial noncommutativiy via the Aharonov-Bohm effect
• The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics
• Noncommutative quantum mechanics and the Aharonov-Casher effect
• Representation of noncommutative phase space
• Representations of noncommutative quantum mechanics and symmetries
• The Topological AC and HMW Effects, and the Dual Current in 2+1 Dimensions
• The noncommutative QED threshold energy versus the optimum collision energy
• Noiseless method for checking the Peres separability criterion by local operations and classical communication

Cited by in corpus (17)

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• Landau Problem in Noncommutative Quantum Mechanics
• Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
• Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
• Spin Hall effect on a noncommutative space
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
• 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
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics
• Deformed "Commutative" Chern - Simons System
• ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{-}$ colliding in noncommutative space