Gravitational Geometric Phase in the Presence of Torsion

Abstract

We investigate the relativistic and non-relativistic quantum dynamics of a neutral spin-1/2 particle submitted an external electromagnetic field in the presence of a cosmic dislocation. We analyze the explicit contribution of the torsion in the geometric phase acquired in the dynamic of this neutral spinorial particle. We discuss the influence of the torsion in the relativistic geometric phase. Using the Foldy-Wouthuysen approximation, the non-relativistic quantum dynamics are studied and the influence of the torsion in the Aharonov-Casher and He-McKellar-Wilkens effects are discussed.

14 pages, no figure

References in corpus (5)

• Constraints on Torsion from Lorentz Violation
• Geometric Phases in Graphitic Cones
• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• The Noncommutative Anandan's Quantum Phase
• Spin-2 particles in gravitational fields

Cited by in corpus (7)

• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Threading dislocation densities in semiconductor crystals: a geometric approach
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Effect of cosmic string on spin dynamics
• Influences of Topological Defect on Spin Hall Effect
• Quantum Sensing from Gravity as Universal Dephasing Channel for Qubits
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity