Ertan Göklü et al 2009 Class. Quantum Grav. 26 225010 doi:10.1088/0264-9381/26/22/225010
Ertan Göklü1, Claus Lämmerzahl1, Abel Camacho2 and Alfredo Macias2
Show affiliationsUsing a density matrix description in space we study the evolution of wavepackets in a fluctuating spacetime background. We assume that spacetime fluctuations manifest as classical fluctuations of the metric. From the non-relativistic limit of a non-minimally coupled Klein–Gordon equation, we derive a Schrödinger equation with an additive Gaussian random potential. This is transformed into an effective master equation for the density matrix. The solutions of this master equation allow us to study the dynamics of wavepackets in a fluctuating spacetime, depending on the fluctuation scenario. We show how different scenarios alter the diffusion properties of wavepackets.
03.65.Ge Solutions of wave equations: bound states
02.40.-k Geometry, differential geometry, and topology
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
Issue 22 (21 November 2009)
Received 22 July 2009, in final form 18 September 2009
Published 20 October 2009
Ertan Göklü et al 2009 Class. Quantum Grav. 26 225010
I M Buluta and S Hasegawa 2009 J. Phys. B: At. Mol. Opt. Phys. 42 154004
A-P Hynninen and A Z Panagiotopoulos 2009 J. Phys.: Condens. Matter 21 465104
K Das and R C Batra 2009 Smart Mater. Struct. 18 115008
Yuxin Yin et al 2007 Nanotechnology 18 495608
A R P Rau 2009 J. Phys. A: Math. Theor. 42 412002
Q Ahsanulhaq et al 2007 Nanotechnology 18 485307
S A Veitzer et al 2009 J. Phys.: Conf. Ser. 180 012007
Lei Dai and Chun Jiang 2009 J. Phys. D: Appl. Phys. 42 225102
Yan V Fyodorov and Jean-Philippe Bouchaud 2008 J. Phys. A: Math. Theor. 41 372001