Noncommutative quantum mechanics and the Aharonov-Casher effect

Abstract

In this work a new method is developed to investigate the Aharonov-Casher effect in a noncommutative space. It is shown that the holonomy receives non-trivial kinematical corrections.

8 pages, Plain Tex, to appear in Eur. Phys. J. C

References in corpus (13)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Non-Commutative Quantum Mechanics
• Aharonov-Bohm Effect in Noncommutative Spaces
• Review of the Phenomenology of Noncommutative Geometry
• The Landau problem and noncommutative quantum mechanics
• Two phases of the noncommutative quantum mechanics
• Gauge Theory on a Quantum Phase Space
• Noncommutative Quantum Mechanics: The Two-Dimensional Central Field
• Path Integral Formulation of Noncommutative Quantum Mechanics
• Quantum Mechanics on a Noncommutative Brane in M(atrix) Theory

Cited by in corpus (30)

• The topological AC effect on noncommutative phase space
• The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics
• The HMW effect in Noncommutative Quantum Mechanics
• An Analogy of the Quantum Hall Condutivity in a Lorentz-symmetry Violation Setup
• The Noncommutative Anandan's Quantum Phase
• Minimal Uncertainty in Momentum: The Effects of IR Gravity on Quantum Mechanics
• Landau Problem in Noncommutative Quantum Mechanics
• Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
• Parton Model in Lorentz Invariant Non-Commutative Space
• Aharonov-Casher effect for spin one particles in a noncommutative space
• Spin Hall effect on a noncommutative space
• Inertial spin Hall effect in noncommutative space
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• 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
• Noncommutative Geometry and Geometric Phases
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space
• Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Cancellation of soft and collinear divergences in noncommutative QED
• Dynamics of Dipoles and Quantum Phases in Noncommutative Coordinates
• The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics
• Noncommutative geometry induced by spin effects
• An Alternative Formulation of Hall Effect and Quantum Phases in Noncommutative Space
• Scattering in Noncommutative Quantum Mechanics
• Two-dimensional Noncommutative atom Gas with Anandan interaction
• Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space