Seminar at DF-TS - Dr. André Großardt - Tuesday June 25th - The Schroedinger-Newton equation
Rosita Glavina
Rosita.Glavina at ts.infn.it
Mon Jun 24 13:23:50 CEST 2013
We are pleased to announce the seminar @ DF-Theoretical Section UniTs:
-------------------------
Dr. André Großardt
Center of Applied Space Technology and Microgravity (ZARM), Universität
Bremen
"The Schrödinger-Newton equation as a model for self-gravitating quantum
systems"
Tuesday June 25th - 2.30 pm
Euler Lecture Hall - LB
ABSTRACT
The time-dependent Schrödinger-Newton equation is considered as a model
for the gravitational self-interaction of a quantum system. It can be
motivated 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.
The dynamical evolution of a wave packet according to the
Schrödinger-Newton equation leads to inhibitions of the quantum
mechanical dispersion and therefore should be observable in experiments
like interferometry of heavy molecules. The masses needed for
significant inhibitions of dispersion are still beyond the reach of
current experiments but might be feasible in the foreseeable future.
References:
- D. Giulini and A. Großardt, Gravitationally induced inhibitions of
dispersion according to the Schrödinger-Newton equation, Class. Quant.
Grav., 2011, 28, 195026, arXiv:1105.1921
- D. Giulini and A. Großardt, The Schrödinger-Newton equation as
nonrelativistic limit of gravitating Klein-Gordon and Dirac fields,
Class. Quant. Grav., 2012, 29, 215010, arXiv:1206.4250
- D. Giulini and A. Großardt, Gravitationally induced inhibitions of
dispersion according to a modified Schrödinger-Newton equation for a
homogeneous-sphere potential, to be published, arXiv:1212.5146
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