The Sagnac Phase Shift suggested by the Aharonov-Bohm effect for relativistic matter beams

Details The Sagnac Phase Shift suggested by the Aharonov-Bohm effect for relativistic matter beams The Sagnac Phase Shift suggested by the Aharonov-Bohm effect for relativistic matter beams

2003-05-13

arxiv.org/abs/gr-qc/0305046v1

Gen.Rel.Grav. 35 (2003) 1745-1760

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, LaTeX, 2 EPS figures. To appear in General Relativity and Gravitation

Scientific paper

The phase shift due to the Sagnac Effect, for relativistic matter beams counter-propagating in a rotating interferometer, is deduced on the bases of a a formal analogy with the the Aharonov-Bohm effect. A procedure outlined by Sakurai, in which non relativistic quantum mechanics and newtonian physics appear together with some intrinsically relativistic elements, is generalized to a fully relativistic context, using the Cattaneo's splitting technique. This approach leads to an exact derivation, in a self-consistently relativistic way, of the Sagnac effect. Sakurai's result is recovered in the first order approximation.

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