Space--time fluctuations and the spreading of wavepackets

Details Space--time fluctuations and the spreading of wavepackets Space--time fluctuations and the spreading of wavepackets

2009-08-03

arxiv.org/abs/0908.0034v1

Class.Quant.Grav.26:225010,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1088/0264-9381/26/22/225010

Using a density matrix description in space we study the evolution of wavepackets in a fluctuating space-time background. We assume that space-time fluctuations manifest as classical fluctuations of the metric. From the non-relativistic limit of a non-minimally coupled Klein-Gordon equation we derive a Schr\"odinger 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 to study the dynamics of wavepackets in a fluctuating space-time, depending on the fluctuation scenario. We show how different scenarios alter the diffusion properties of wavepackets.

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