Classical and Quantum Spins in Curved Spacetimes
Abstract
A comparative analysis of the Mathisson-Papapetrou and Pomeransky-Khriplovich equations is presented. Motion of spinning particles and their spins in gravitational fields and noninertial frames is considered. The angular velocity of spin precession defined by the Pomeransky-Khriplovich equations depends on the choice of the tetrad. The connection of such a dependence with the Thomas precession is established. General properties of spin interactions with gravitational fields are discussed. It is shown that dynamics of classical and quantum spins in curved spacetimes is identical. A manifestation of the equivalence principle in an evolution of the helicity is analyzed.
Cite
@article{arxiv.0802.4443,
title = {Classical and Quantum Spins in Curved Spacetimes},
author = {Alexander J. Silenko},
journal= {arXiv preprint arXiv:0802.4443},
year = {2008}
}
Comments
Invited lecture presented at the International conference devoted to Myron Mathisson: his life, work, and influence on current research. 23 pages