Semiclassical limit for Dirac particles interacting with a gravitational field

Details Semiclassical limit for Dirac particles interacting with a gravitational field Semiclassical limit for Dirac particles interacting with a gravitational field

2004-07-04

arxiv.org/abs/gr-qc/0407015v3

Phys.Rev. D71 (2005) 064016

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures; version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.71.064016

The behavior of spin-1/2 particle in a weak static gravitational field is considered. The Dirac Hamiltonian is diagonalized by the Foldy-Wouthuysen transformation providing also the simple form for the momentum and spin polarization operators. The operator equations of momentum and spin motion are derived for a first time. Their semiclassical limit is analyzed. The dipole spin-gravity coupling in the previously found (another) Hamiltonian does not lead to any observable effects. The general agreement between the quantum and classical analysis is established, contrary to several recent claims. The expression for gravitational Stern-Gerlach force is derived. The helicity evolution in the gravitational field and corresponding accelerated frame coincides, being the manifestation of the equivalence principle.

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