Propagation of Dirac Wave Functions in Accelerated Frames of Reference

Details Propagation of Dirac Wave Functions in Accelerated Frames of Reference Propagation of Dirac Wave Functions in Accelerated Frames of Reference

2004-07-30

arxiv.org/abs/gr-qc/0407115v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages

Scientific paper

The first-order gravity effects of Dirac wave functions are found from the inertial effects in the accelerated frames of reference. Derivations and discussions about Lense-Thirring effect and the gyrogravitational ratio for intrinsic spin are presented. We use coordinate transformations among reference frames to study and understand the Lense-Thirring effect of a scalar particle. For a Dirac particle, the wave-function transformation operator from an inertial frame to a moving accelerated frame is obtained. From this, the Dirac wave function is solved and its change of polarization gives the gyrogravitational ratio 1 for the first-order gravitational effects. The eikonal approach to this problem is presented in the end for ready extension to investigations involving curvature terms.

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