paper

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

arXiv:1206.4250 · doi:10.1088/0264-9381/29/21/215010

Abstract

In this paper we show that the Schrödinger-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.

27 pages

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