Geometric Phase for Neutral Particle in the Presence of a Topological Defect

Abstract

In this paper we study the quantum dynamics of a neutral particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of neutral particle which possesses permanent magnetic and electric dipole moments in the presence of an electromagnetic fields in this curved background. The nonrelativistic quantum dynamics are investigated using the Foldy-Wouthuysen expansion. The gravitational Aharonov-Casher and He-Mckellar-Wilkens effects are investigated for a series of electric and magnetic fields configurations.

13 pages, no figures

References in corpus (3)

• Geometric Phases in Graphitic Cones
• The Noncommutative Anandan's Quantum Phase
• Charged particle interferometry in Plebański--Demiański black hole space--times

Cited by in corpus (12)

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• Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Gravitational Geometric Phase in the Presence of Torsion
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• Effect of cosmic string on spin dynamics
• Influences of Topological Defect on Spin Hall Effect
• A doubly anharmonic oscillator in an induced electric dipole system
• Quantum entanglement for atoms coupling to fluctuating electromagnetic field in the cosmic string spacetime
• Induced electric dipole moment coupling in Dirac equation
• Dirac fermions with electric dipole moment and position-dependent mass in the presence of a magnetic field generated by magnetic monopoles