Details
| Original language | English |
|---|---|
| Title of host publication | On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories |
| Editors | Kjell Rosquist, Robert T. Jantzen, Remo Ruffini, Remo Ruffini |
| Place of Publication | Stockholm |
| Publisher | World Scientific |
| Pages | 2011-2209 |
| Number of pages | 199 |
| ISBN (print) | 9789814612142 |
| Publication status | Published - 2015 |
| Event | 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Sweden Duration: 1 Jul 2015 → 7 Jul 2015 |
Publication series
| Name | 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 |
|---|---|
| Number | 210699 |
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.
Keywords
- Non-relativistic limit, Schrödinger-Newton equation, Self-gravitating quantum systems, Semiclassical gravity
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
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On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. ed. / Kjell Rosquist; Robert T. Jantzen; Remo Ruffini; Remo Ruffini. Stockholm: World Scientific, 2015. p. 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; No. 210699).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - The Schrödinger-Newton Equation as a Model for Self-gravitating Systems
AU - Grossardt, Andre
AU - Giulini, Domenico
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Non-relativistic limit
KW - Schrödinger-Newton equation
KW - Self-gravitating quantum systems
KW - Semiclassical gravity
UR - http://www.scopus.com/inward/record.url?scp=85045409719&partnerID=8YFLogxK
U2 - 10.1142/9789814623995_0399
DO - 10.1142/9789814623995_0399
M3 - Conference contribution
AN - SCOPUS:85045409719
SN - 9789814612142
T3 - 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
SP - 2011
EP - 2209
BT - On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
A2 - Rosquist, Kjell
A2 - Jantzen, Robert T.
A2 - Ruffini, Remo
A2 - Ruffini, Remo
PB - World Scientific
CY - Stockholm
T2 - 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
Y2 - 1 July 2015 through 7 July 2015
ER -