Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field

Details Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field

2006-04-03

arxiv.org/abs/hep-th/0604012v3

Phys.Lett.A368:356-361,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/j.physleta.2007.04.022

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.

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