Dirac Particles in a Gravitational Field

Pierre Gosselin (1) , Herve Mohrbach (2, 3)

1 IF - Institut Fourier
2 FCN - Fédération de Chimie de Nancy
3 UPVM - Université Paul Verlaine - Metz

The semiclassical approximation for the Hamiltonian of Dirac particles interacting with an arbitrary gravitational field is investigated. The time dependence of the metrics leads to new contributions to the in-band energy operator in comparison to previous works on the static case. In particular we find a new coupling term between the linear momentum and the spin, as well as couplings which contribute to the breaking of the particle - antiparticle symmetry.

Mots clés: Dirac electron in a gravitational field; Berry phase; Berry curvature; Semiclassical approximation

Domaines: Physique Quantique [quant-ph]

Pierre Gosselin, Herve Mohrbach. Dirac Particles in a Gravitational Field. 2010. ⟨hal-00516606⟩