1212.5146 (Domenico Giulini et al.)

Gravitationally induced inhibitions of dispersion according to a
modified Schrödinger-Newton equation for a homogeneous-sphere potential    [PDF]

Domenico Giulini, André Großardt

We modify the time dependent Schr\"odinger-Newton equation by using a potential for a solid sphere suggested by J\"a\"askel\"ainen (J\"a\"askel\"ainen 2012 Phys. Rev. A 86 052105). Compared to our recent paper (Giulini and Gro{\ss}ardt 2011 Class. Quantum Grav. 28 195026) where a single point-particle, i.e. a Coulomb potential, was considered this has been suggested to be a more realistic model for a molecule. Surprisingly, compared to our previous results, inhibitions of dispersion of a Gaussian wave packet occur at even smaller masses for the solid sphere potential, given that the width of the wave packet is not exceeded by the radius of the sphere.

View original: http://arxiv.org/abs/1212.5146