The Schrödinger-Newton Equation as a Model for Self-gravitating Systems

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Andre Grossardt
  • Domenico Giulini

Organisationseinheiten

Externe Organisationen

  • Universität Bremen
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksOn Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Herausgeber/-innenKjell Rosquist, Robert T. Jantzen, Remo Ruffini, Remo Ruffini
ErscheinungsortStockholm
Herausgeber (Verlag)World Scientific
Seiten2011-2209
Seitenumfang199
ISBN (Print)9789814612142
PublikationsstatusVeröffentlicht - 2015
Veranstaltung13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Schweden
Dauer: 1 Juli 20157 Juli 2015

Publikationsreihe

NameThe 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012
Nummer210699

Abstract

The time-dependent Schrödinger-Newton equation can be considered as a model for the gravitational self-interaction of a quantum system. We motivate this model as the non-relativistic limit of a gravitationally interacting relativistic field. Namely, we show that the Schrödinger-Newton equation can be derived in a WKB-like expansion in 1/c from the Einstein-Klein-Gordon and Einstein-Dirac system.

ASJC Scopus Sachgebiete

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The Schrödinger-Newton Equation as a Model for Self-gravitating Systems. / Grossardt, Andre; Giulini, Domenico.
On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. Hrsg. / Kjell Rosquist; Robert T. Jantzen; Remo Ruffini; Remo Ruffini. Stockholm: World Scientific, 2015. S. 2011-2209 (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; Nr. 210699).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Grossardt, A & Giulini, D 2015, The Schrödinger-Newton Equation as a Model for Self-gravitating Systems. in K Rosquist, RT Jantzen, R Ruffini & R Ruffini (Hrsg.), On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012, Nr. 210699, World Scientific, Stockholm, S. 2011-2209, 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012, Stockholm, Schweden, 1 Juli 2015. https://doi.org/10.1142/9789814623995_0399
Grossardt, A., & Giulini, D. (2015). The Schrödinger-Newton Equation as a Model for Self-gravitating Systems. In K. Rosquist, R. T. Jantzen, R. Ruffini, & R. Ruffini (Hrsg.), On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (S. 2011-2209). (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; Nr. 210699). World Scientific. https://doi.org/10.1142/9789814623995_0399
Grossardt A, Giulini D. The Schrödinger-Newton Equation as a Model for Self-gravitating Systems. in Rosquist K, Jantzen RT, Ruffini R, Ruffini R, Hrsg., On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. Stockholm: World Scientific. 2015. S. 2011-2209. (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; 210699). doi: 10.1142/9789814623995_0399
Grossardt, Andre ; Giulini, Domenico. / The Schrödinger-Newton Equation as a Model for Self-gravitating Systems. On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. Hrsg. / Kjell Rosquist ; Robert T. Jantzen ; Remo Ruffini ; Remo Ruffini. Stockholm : World Scientific, 2015. S. 2011-2209 (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; 210699).
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abstract = "The time-dependent Schr{\"o}dinger-Newton equation can be considered as a model for the gravitational self-interaction of a quantum system. We motivate this model as the non-relativistic limit of a gravitationally interacting relativistic field. Namely, we show that the Schr{\"o}dinger-Newton equation can be derived in a WKB-like expansion in 1/c from the Einstein-Klein-Gordon and Einstein-Dirac system.",
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