Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles
Abstract
Exact expression for the Foldy-Wouthuysen Hamiltonian of scalar particles is used for a quantum-mechanical description of the relativistic Lense-Thirring effect. The exact evolution of the angular momentum operator in the Kerr field approximated by a spatially isotropic metric is found. The quantum-mechanical description of the full Lense-Thirring effect based on the Laplace-Runge-Lenz vector is given in the nonrelativistic and weak-field approximation. Relativistic quantum-mechanical equations for the velocity and acceleration operators are obtained. The equation for the acceleration defines the Coriolis-like and centrifugal-like accelerations and presents the quantum-mechanical description of the frame-dragging effect.
Keywords
Cite
@article{arxiv.1408.2226,
title = {Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles},
author = {Alexander J. Silenko},
journal= {arXiv preprint arXiv:1408.2226},
year = {2014}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:1305.6378