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Propagation of Dirac Wave Functions in Accelerated Frames of Reference

Yi-Cheng Huang·Wei-Tou Ni
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Abstract

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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Yi-Cheng Huang, Wei-Tou Ni. 2004-07-30. Propagation of Dirac Wave Functions in Accelerated Frames of Reference. https://arxiv.org/abs/gr-qc/0407115

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