Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field
arXiv:hep-th/0604012 · doi:10.1016/j.physleta.2007.04.022
Abstract
The semiclassical limit for Dirac particles interacting with a static gravitational field is investigated. A Foldy-Wouthuysen transformation which diagonalizes at the semiclassical order the Dirac equation for an arbitrary static spacetime metric is realized. In this representation the Hamiltonian provides for a coupling between spin and gravity through the torsion of the gravitational field. In the specific case of a symmetric gravitational field we retrieve the Hamiltonian previously found by other authors. But our formalism provides for another effect, namely, the spin hall effect, which was not predicted before in this context.
References in corpus (17)
- Dissipationless Quantum Spin Current at Room Temperature
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
- Berry phase correction to electron density of states in solids
- Berry phase, hyperorbits, and the Hofstadter spectrum
- Spin Hall effect and Berry phase of spinning particles
- Spin, gravity, and inertia
- Semiclassical limit for Dirac particles interacting with a gravitational field
- Spin Hall effect of Photons in a Static Gravitational Field
- Topological spin transport of relativistic electron
- Monopole and Berry Phase in Momentum Space in Noncommutative Quantum Mechanics
- Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach
- Comment on "Berry phase correction to electron density in solids" by Xiao et al
- On gravitational interaction of fermions
- Anyons with anomalous gyromagnetic ratio & the Hall effect
- Hermitian Dirac Hamiltonian in time dependent gravitational field
- Reply to Comment on "Berry phase correction to electron density of states in solids"
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- Foldy-Wouthyusen Transformation and Semiclassical Limit for Relativistic Particles in Strong External Fields
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- General properties of the Foldy-Wouthuysen transformation and applicability of the corrected original Foldy-Wouthuysen method
- Position, spin and orbital angular momentum of a relativistic electron
- Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen transformation methods
- Berry Curvature in Graphene: A New Approach
- Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
- High-precision description and new properties of a spin-1 particle in a magnetic field
- Semiclassical analysis of Dirac fields on curved spacetime
- General relativity effects in precision spin experimental tests of fundamental symmetries
- Recursive Diagonalization of Quantum Hamiltonians to all order in
- Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
- Frequency- and polarization-dependent lensing of gravitational waves in strong gravitational fields
- Massless polarized particle and Faraday rotation of light in the Schwarzschild spacetime
- Spin Hall effects in the sky
- High-order Foldy-Wouthuysen transformations of the Dirac and Dirac-Pauli Hamiltonians in the weak-field limit
- Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
- Correspondence between classical and Dirac-Pauli spinors in view of the Foldy-Wouthuysen transformation
- Diagonal Representation for a Generic Matrix Valued Quantum Hamiltonian
- Foldy-Wouthuysen transformation for a Dirac-Pauli dyon and the Thomas-Bargmann-Michel-Telegdi equation
- Exact Foldy-Wouthuysen transformation of the Dirac-Pauli Hamiltonian in the weak-field limit by the method of direct perturbation theory
- Validation of the Eriksen Method of the Exact Foldy-Wouthuysen Representation
- Dirac Particles in a Gravitational Field
- From Feynman Proof of Maxwell Equations to Noncommutative Quantum Mechanics
- Spin optics for gravitational waves
- Quantum geometric tensors from sub-bundle geometry
- Two-dimensional Dirac matter in the semiclassical regime
- Spin Hall effects and the localization of massless spinning particles