%0 Journal Article %T The Schr£¿dinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields %A Domenico Giulini %A Andr¨¦ Gro£¿ardt %J Physics %D 2012 %I arXiv %R 10.1088/0264-9381/29/21/215010 %X In this paper we show that the Schr\"odinger-Newton equation for spherically symmetric gravitational fields can be derived in a WKB-like expansion in 1/c from the Einstein-Klein-Gordon and Einstein-Dirac system. %U http://arxiv.org/abs/1206.4250v1