Jena 2013 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 19: Quantengravitation und Quantenkosmologie I

GR 19.2: Talk

Friday, March 1, 2013, 12:45–13:00, HS 6

The Schrödinger-Newton equation as a model for self-gravitating quantum systems — •André Großardt^1,2 und Domenico Giulini^1,2 — ¹Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM), Universität Bremen — ²Institut für theoretische Physik, Leibniz Universität Hannover

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.