Gravitomagnetic Field and Time-Dependent Spin-Rotation Coupling

Abstract

The Kerr metric of spherically symmetric gravitational field is analyzed through the coordinate transformation from the rotating frame to fixing frame, and consequently that the inertial force field (with the exception of the centrifugal force field) in the rotating system is one part of its gravitomagnetic field is verified. We investigate the spin-rotation coupling and, by making use of Lewis-Riesenfeld invariant theory, we obtain exact solutions of the Schrödinger equation of a spinning particle in a time-dependent rotating reference frame. A potential application of these exact solutions to the investigation of Earth${}^{,}$s rotating frequency fluctuation by means of neutron-gravity interferometry experiment is briefly discussed in the present paper.

6 pages, 0 figures, Latex

References in corpus (4)

• Gravitational Couplings of Intrinsic Spin
• On the spin-rotation-gravity coupling
• Universality Principle for Orbital Angular Momentum and Spin in Gravity with Torsion
• General relativistic galvano-gravitomagnetic effect in current carrying conductors

Cited by in corpus (12)

• Geometric Phase of electrons due to the Spin-rotation Coupling in Rotating C${}_{60}$ Molecules
• Helicity-Rotation-Gravity Coupling for Gravitational Waves
• Time-Varying Gravitomagnetism
• The purely gravitational generalization of spin-rotation couplings
• Geometric Phase and Helicity Inversion of Photons Propagating inside a Noncoplanarly Curved Optical Fiber
• Nonlocal Dirac Equation for Accelerated Observers
• Nonanalytic metric in the presence of gravitomagnetic monopoles
• Hyperbolical geometric quantum phase and topological dual mass
• The evolution of atomic matter waves inside an atom fiber
• Exact time-dependent decoherence factor and its adiabatic classical limit
• On some weak-gravitational effects
• Neutron-gravity interferometry experiment: testing Earth's rotating frequency fluctuations via neutron Berry's phases due to spin-rotation couplings