1206.4250 (Domenico Giulini et al.)

The Schrödinger-Newton equation as non-relativistic limit of
self-gravitating Klein-Gordon and Dirac fields    [PDF]

Domenico Giulini, André Großardt

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.

View original: http://arxiv.org/abs/1206.4250