Nonrelativistic limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and gravitational spin-orbit coupling

U. D. Jentschura, J. H. Noble

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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.

Original languageEnglish
Article number022121
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume88
Issue number2
DOIs
Publication statusPublished - Aug 23 2013

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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