Gravitationally induced inhibitions of dispersion according to the Schrödinger-Newton equation

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Authors

  • Domenico Giulini
  • André Großardt

Research Organisations

External Research Organisations

  • University of Bremen
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Details

Original languageEnglish
Article number195026
JournalClassical and quantum gravity
Volume28
Issue number19
Early online date20 Sept 2011
Publication statusPublished - 7 Oct 2011

Abstract

We reconsider the time-dependent Schrödinger-Newton equation as a model for the self-gravitational interaction of a quantum system. We numerically locate the onset of gravitationally induced inhibitions of dispersion of Gaussian wave packets and find them to occur at mass values more than six orders of magnitude higher than reported by Salzman and Carlip (Salzman and Carlip 2006, arXiv:gr-qc/0606120, Carlip 2008 Class. Quantum Grav. 25 107-44), namely at about 1010 u. This fits much better to simple analytical estimates but unfortunately also questions the experimental realizability of the proposed laboratory test of quantum gravity in the foreseeable future, not just because of large masses, but also because of the need to provide sufficiently long coherence times.

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Gravitationally induced inhibitions of dispersion according to the Schrödinger-Newton equation. / Giulini, Domenico; Großardt, André.
In: Classical and quantum gravity, Vol. 28, No. 19, 195026, 07.10.2011.

Research output: Contribution to journalArticleResearchpeer review

Giulini D, Großardt A. Gravitationally induced inhibitions of dispersion according to the Schrödinger-Newton equation. Classical and quantum gravity. 2011 Oct 7;28(19):195026. Epub 2011 Sept 20. doi: 10.1088/0264-9381/28/19/195026
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