2006/04/30 by Pierre Gosselin, Alain Bérard, Herve Mohrbach +1 · 6 citations
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #cond-mat.other #hep-th
paper · pdf · doi:10.1016/j.physleta.2007.04.022
published as Phys.Lett.A368:356-361,2007
arxiv created 2007/04/03 · openalex publication_date 2007/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.