| Issue |
EPL
Volume 87, Number 4, August 2009
|
|
|---|---|---|
| Article Number | 40006 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/87/40006 | |
| Published online | 15 September 2009 | |
Quantum mechanics and geodesic deviation in the brane world
Department of Physics, Shahid Beheshti University - G. C., Evin, Tehran 19839, Iran
Corresponding authors: m-rasouli@sbu.ac.ir af-bahrehbakhsh@sbu.ac.ir s-jalalzadeh@sbu.ac.ir m-farhoudi@sbu.ac.ir
Received:
23
May
2009
Accepted:
13
August
2009
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 
.
PACS: 04.50.-h – Higher-dimensional gravity and other theories of gravity / 03.65.Ta – Foundations of quantum mechanics; measurement theory / 04.20.Cv – Fundamental problems and general formalism
© EPLA, 2009
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