Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background

Details Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background

2007-09-06

arxiv.org/abs/0709.0767v1

Phys.Rev.D75:124023,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.75.124023

We consider an exact Foldy-Wouthuysen transformation for the Dirac spinor field on the combined background of a gravitational wave and constant uniform magnetic field. By taking the classical limit of the spinor field Hamiltonian we arrive at the equations of motion for the non-relativistic spinning particle. Two different kinds of the gravitational fields are considered and in both cases the effect of the gravitational wave on the spinor field and on the corresponding spinning particle may be enforced by the sufficiently strong magnetic field. This result can be relevant for the astrophysical applications and, in principle, useful for creating the gravitational wave detectors based on atomic physics and precise interferometry.

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