https://doi.org/10.1140/epjc/s10052-011-1739-6
Regular Article - Theoretical Physics
Dirac particles in a gravitational field
1
Institut Fourier, UMR 5582 CNRS-UJF, UFR de Mathématiques, Université Grenoble I, BP74, 38402, Saint Martin d’Hères Cedex, France
2
Groupe BioPhysStat, ICPMB-FR CNRS 2843, Université Paul Verlaine-Metz, 57078, Metz Cedex 3, France
* e-mail: Herve.mohrbach@univ-metz.fr
Received:
16
February
2011
Revised:
6
July
2011
Published online:
28
September
2011
The semiclassical approximation for the Hamiltonian of Dirac particles interacting with an arbitrary gravitational field is investigated. The time dependence of the metric leads to new contributions to the in-band energy operator in comparison to previous works in the static case. In particular we find a new coupling term between the linear momentum and the spin, as well as couplings that contribute to the breaking of the particle–antiparticle symmetry.
© Springer-Verlag / Società Italiana di Fisica, 2011
