München 2019 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 8: Quantum Cosmology and Quantum Gravity I

GR 8.7: Talk

Wednesday, March 20, 2019, 16:00–16:15, HS 4

Post-Newtonian corrections to Schrödinger equations in gravitational fields — •Philip Schwartz and Domenico Giulini — Institute for Theoretical Physics, Leibniz University Hannover, Appelstraße 2, 30167 Hannover, Germany

With the aim of comparing different methods for the post-Newtonian description of single quantum particles in gravity, we develop a WKB-like systematic `non-relativistic' expansion scheme for the classical minimally coupled Klein--Gordon equation to arbitrary order in 1/c. Comparing the results to canonical quantisation of free particles, as widely employed in the literature, we find differences which could in principle become relevant for precision tests of General Relativity using quantum systems.