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arXiv · 1408.2226

Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles

Alexander J. Silenko
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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.

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Alexander J. Silenko. 2014-08-10. Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles. https://doi.org/10.1134/s1547477113070157

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