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.

arXiv comment14 pages, no figure

References in corpus (17)

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Cited by in corpus (14)

• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Dislocations and torsion in graphene and related systems
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Threading dislocation densities in semiconductor crystals: a geometric approach
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Conformal Invariance in Einstein-Cartan-Weyl space
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
• Effect of cosmic string on spin dynamics
• Influences of Topological Defect on Spin Hall Effect
• Persistent spin currents in an elastic Landau system
• 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