Spin Hall effect of photons in a static gravitational field
Abstract
Starting from a Hamiltonian description of the photon within the set of BargmannWigner equations we derive new semiclassical equations of motion for the photon propagating in a static gravitational field. These equations which are obtained in the representation diagonalizing the Hamiltonian at the order ({Dirac_h}/2{pi}), present the first order corrections to the geometrical optics. The photon Hamiltonian shows a new kind of helicitytorsion coupling. However, even for a torsionless spacetime, photons do not follow the usual null geodesic as a consequence of an anomalous velocity term. This term is responsible for the gravitational birefringence phenomenon: photons with distinct helicity follow different geodesics in a static gravitational field.
 Authors:
 Universite Grenoble I, Institut Fourier, UMR 5582 CNRSUJF, UFR de Mathematiques, BP74, 38402 Saint Martin d'Heres, Cedex (France)
 Universite Paul Verlaine, Institut de Physique, ICPMB1FR CNRS 2843, Laboratoire de Physique Moleculaire et des Collisions, 1, boulevard Arago, 57078 Metz (France)
 Publication Date:
 OSTI Identifier:
 21020404
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.084035; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BIREFRINGENCE; CORRECTIONS; COSMOLOGY; COUPLING; EQUATIONS OF MOTION; GEODESICS; GRAVITATIONAL FIELDS; HALL EFFECT; HAMILTONIANS; HELICITY; OPTICS; PHOTONS; QUANTUM FIELD THEORY; SEMICLASSICAL APPROXIMATION; SPACETIME; SPIN; TORSION; VELOCITY
Citation Formats
Gosselin, Pierre, Berard, Alain, and Mohrbach, Herve. Spin Hall effect of photons in a static gravitational field. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.084035.
Gosselin, Pierre, Berard, Alain, & Mohrbach, Herve. Spin Hall effect of photons in a static gravitational field. United States. doi:10.1103/PHYSREVD.75.084035.
Gosselin, Pierre, Berard, Alain, and Mohrbach, Herve. Sun .
"Spin Hall effect of photons in a static gravitational field". United States.
doi:10.1103/PHYSREVD.75.084035.
@article{osti_21020404,
title = {Spin Hall effect of photons in a static gravitational field},
author = {Gosselin, Pierre and Berard, Alain and Mohrbach, Herve},
abstractNote = {Starting from a Hamiltonian description of the photon within the set of BargmannWigner equations we derive new semiclassical equations of motion for the photon propagating in a static gravitational field. These equations which are obtained in the representation diagonalizing the Hamiltonian at the order ({Dirac_h}/2{pi}), present the first order corrections to the geometrical optics. The photon Hamiltonian shows a new kind of helicitytorsion coupling. However, even for a torsionless spacetime, photons do not follow the usual null geodesic as a consequence of an anomalous velocity term. This term is responsible for the gravitational birefringence phenomenon: photons with distinct helicity follow different geodesics in a static gravitational field.},
doi = {10.1103/PHYSREVD.75.084035},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}

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