Spin dynamics in gravitational fields of rotating bodies and the equivalence principle

@article{Obukhov2009SpinDI,
  title={Spin dynamics in gravitational fields of rotating bodies and the equivalence principle},
  author={Yuri N. Obukhov and Alexander J. Silenko and Oleg Teryaev},
  journal={Physical Review D},
  year={2009},
  volume={80},
  pages={064044}
}
We discuss the quantum and classical dynamics of a particle with spin in the gravitational field of a rotating source. A relativistic equation describing the motion of classical spin in curved spacetimes is obtained. We demonstrate that the precession of the classical spin is in a perfect agreement with the motion of the quantum spin derived from the Foldy-Wouthuysen approach for the Dirac particle in a curved spacetime. We show that the precession effect depends crucially on the choice of a… 
Spin in an arbitrary gravitational field
We study the quantum mechanics of a Dirac fermion on a curved spacetime manifold. The metric of the spacetime is completely arbitrary, allowing for the discussion of all possible inertial and
Spin precession in inertial and gravitational fields
We discuss the motion of spin in inertial and gravitational fields. The coupling of spin with rotation and the gravitomagnetic field has already been extensively studied; therefore, we focus here on
Dirac fermions in strong gravitational fields
We discuss the dynamics of the Dirac fermions in the general strong gravitational and electromagnetic fields. We derive the general Hermitian Dirac Hamiltonian and transform it to the
Dirac particle spin in strong gravitational fields
Dynamics of the Dirac particle spin in general strong gravitational fields is discussed. The Hermitian Dirac Hamiltonian is derived and transformed to the Foldy-Wouthuysen (FW) representation for an
Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
Relativistic quantum-mechanical description of electromagnetic, inertial, and gravitational interactions of a Proca (spin-1) particle is presented. Covariant equations defining electromagnetic
Spin-torsion coupling and gravitational moments of Dirac fermions: Theory and experimental bounds
We discuss the quantum dynamics of the Dirac fermion particle in a gauge gravitational field. The minimal as well as the Pauli-type nonminimal coupling of a fermion with external fields is studied,
General treatment of quantum and classical spinning particles in external fields
We develop the general theory of spinning particles with electric and magnetic dipole moments moving in arbitrary electromagnetic, inertial and gravitational fields. Both the quantum-mechanical and
Momentum and spin dynamics of Dirac particles at effective dimensional reduction
We consider the dynamics of Dirac particles moving in the curved spaces of variable dimension interpolating smoothly between 3- and 2-dimensional spaces and considered as a toy model for
Motion of Spinless Particles in Gravitational Fields
The covariant Klein-Gordon equation describing a scalar particle in a Riemannian spacetime of general relativity is transformed to a Hamiltonian form by the generalized Feshbach-Villars method
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 67 REFERENCES
Trajectories and spin motion of massive spin-1/2 particles in gravitational fields
From covariant Dirac theory in curved space-time, dynamical equations for the motion of the spin and the spin-induced non-geodesic behaviour of the particle trajectories are deduced. This is done for
Equations of motion of a spinning relativistic particle in external fields
We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields to first order in the external field but to arbitrary order in the spin. The influence
Spin, gravity, and inertia.
TLDR
The comparison of the true gravitational coupling with the purely inertial case demonstrates that the spin relativistic effects do not violate the equivalence principle for the Dirac fermions.
Semiclassical limit for Dirac particles interacting with a gravitational field
The behavior of a spin-1/2 particle in a weak static gravitational field is considered. The Dirac Hamiltonian is diagonalized by the Foldy-Wouthuysen transformation providing also the simple form for
On Gravitational Interaction of Fermions
We discuss some aspects of the gravitational interaction of the relativistic quantum particles with spin 1/2. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled
Particles with Spin in a Gravitational Field
Papapetrou's covariant equations of motion for a spinning particle in a gravitational field are discussed. The equations of motion for the spin of a particle at rest outside a rotating mass are
Classical and Quantum Spins in Curved Spacetimes
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
Dynamics of extended spinning masses in a gravitational field
We develop a first-order approximation method for the influence of spin on the motion of extended spinning test masses in a gravitational field. This approach is illustrated for approximately
Neutrino spin oscillations in gravitational fields
We study neutrino spin oscillations in gravitational fields. The quasi-classical approach is used to describe the neutrino spin evolution. First we examine the case of a weak gravitational field. We
...
1
2
3
4
5
...