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arXiv · 0911.2971

Quantum mechanics and geodesic deviation in the brane world

S. M. M. Rasouli·A. F. Bahrehbakhsh·S. Jalalzadeh·M. Farhoudi
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Abstract

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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S. M. M. Rasouli, A. F. Bahrehbakhsh, S. Jalalzadeh, M. Farhoudi. 2009-11-16. Quantum mechanics and geodesic deviation in the brane world. https://doi.org/10.1209/0295-5075/87/40006

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