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

@article{Giulini2012TheSE,
  title={The Schr{\"o}dinger-Newton equation as a non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields},
  author={D. Giulini and A. H. D. U. O. A. S. Germany and Institute for Theoretical Physics - University of Hannover - Germany},
  journal={Classical and Quantum Gravity},
  year={2012},
  volume={29},
  pages={215010}
}
In this paper, we show that the Schrodinger–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 systems. 

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