Quantum mechanics and geodesic deviation in the brane world

Details Quantum mechanics and geodesic deviation in the brane world Quantum mechanics and geodesic deviation in the brane world

2009-11-16

arxiv.org/abs/0911.2971v1

Europhys.Lett.87:40006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures

Scientific paper

10.1209/0295-5075/87/40006

We investigate the induced geodesic deviation equations in the brane world models, in which all the matter forces except gravity are confined on the 3-brane. Also, the Newtonian limit of induced geodesic deviation equation is studied. We show that in the first Randall-Sundrum model the Bohr-Sommerfeld quantization rule is as a result of consistency between the geodesic and geodesic deviation equations. This indicates that the path of test particle is made up of integral multiples of a fundamental Compton-type unit of length $h/mc$.

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