Abstract

We investigate the nonrelativistic limit of the gravitationally coupled Dirac equation via a Foldy-Wouthuysen transformation. The relativistic correction terms have immediate and obvious physical interpretations in terms of a gravitational Zitterbewegung and a gravitational spin-orbit coupling. We find no direct coupling of the spin vector to the gravitational force, which would otherwise violate parity. The particle-antiparticle symmetry described recently by one of us is verified on the level of the perturbative corrections accessed by the Foldy-Wouthuysen transformation. The gravitational corrections to the electromagnetic transition current are calculated.

Department(s)

Physics

Keywords and Phrases

Dirac Equations; Electromagnetic Transitions; Foldy-Wouthuysen Transformations; Gravitational Forces; Nonrelativistic Limits; Physical Interpretation; Relativistic Correction; Spin-orbit Couplings; Linear Equations; Gravitation

International Standard Serial Number (ISSN)

1050-2947

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2013 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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