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Phys. Rev. Lett. 86, 192–195 (2001)

Spin, Gravity, and Inertia

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Yuri N. Obukhov*
Institute of Theoretical Physics, Technical University of Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany

Received 18 August 2000; published in the issue dated 8 January 2001

The gravitational effects in the relativistic quantum mechanics are investigated. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime metric. As a direct application, we analyze the nonrelativistic limit of the theory. The new term describing the specific spin (gravitational moment) interaction effect is recovered in the Hamiltonian. The comparison of the true gravitational coupling with the purely inertial case demonstrates that the spin relativistic effects do not violate the equivalence principle for the Dirac fermions.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.192
DOI:
10.1103/PhysRevLett.86.192
PACS:
04.20.Cv, 03.65.Ta, 04.80.Cc

*On leave from Department of Theoretical Physics, Moscow University, 117234 Moscow, Russia.

See Also

Comment: Nistor Nicolaevici, Comment on “Spin, Gravity, and Inertia”, Phys. Rev. Lett. 89, 068902 (2002).

Reply: Yu. N. Obukhov, Obukhov Replies:, Phys. Rev. Lett. 89, 068903 (2002).