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

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Authors

  • Domenico Giulini
  • André Groardt

Research Organisations

External Research Organisations

  • University of Bremen
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Details

Original languageEnglish
Article number215010
JournalClassical and quantum gravity
Volume29
Issue number21
Early online date3 Oct 2012
Publication statusPublished - 7 Nov 2012

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 systems.

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Cite this

The Schrödinger-Newton equation as a non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields. / Giulini, Domenico; Groardt, André.
In: Classical and quantum gravity, Vol. 29, No. 21, 215010, 07.11.2012.

Research output: Contribution to journalArticleResearchpeer review

Giulini D, Groardt A. The Schrödinger-Newton equation as a non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields. Classical and quantum gravity. 2012 Nov 7;29(21):215010. Epub 2012 Oct 3. doi: 10.1088/0264-9381/29/21/215010
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