Physics
Scientific paper
Mar 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1205..112o&link_type=abstract
THE SUN, THE STARS, THE UNIVERSE AND GENERAL RELATIVITY: International Conference in Honor of Ya.B. Zeldovich's 95th Anniversary
Physics
Gravitational Waves, Dirac Equation, Relativistic Mechanics, Quantum Mechanics, Wave Propagation And Interactions, Relativistic Wave Equations, Numerical Studies Of Critical Behavior, Singularities, And Cosmic Censorship, Entanglement And Quantum Nonlocality
Scientific paper
A spin motion of particles in stationary spacetimes is investigated in the framework of the classical gravity and relativistic quantum mechanics. We bring the Dirac equation for relativistic particles in nonstatic spacetimes to the Hamiltonian form and perform the Foldy-Wouthuysen transformation. We show the importance of the choice of tetrads for description of spin dynamics in the classical gravity. We derive classical and quantum mechanical equations of motion of the spin for relativistic particles in stationary gravitational fields and rotating frames and establish the full agreement between the classical and quantum mechanical approaches.
Silenko Alexander J.
Teryaev Oleg V.
~Obukhov Yuri N.
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