Quantum mechanics and geodesic deviation in the brane worldS. M. M. Rasouli, A. F. Bahrehbakhsh, S. Jalalzadeh and M. Farhoudi
Department of Physics, Shahid Beheshti University - G. C., Evin, Tehran 19839, Iran
received 23 May 2009; accepted in final form 13 August 2009; published August 2009
published online 15 September 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 BohrSommerfeld 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.
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