2004/07/31 by Alexander J. Silenko, A. J. Silenko, Oleg Teryaev +1 · 8 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.71.064016
published as Phys.Rev. D71 (2005) 064016 · 8 pages, no figures; version to appear in Physical Review D
arxiv created 2005/02/27 · openalex publication_date 2005/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The behavior of a 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 approaches is established, contrary to several recent claims. The expression for the 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.