Gravitationally induced inhibitions of dispersion according to a modified Schrödinger-Newton equation for a homogeneous-sphere potential
arXiv:1212.5146 · doi:10.1088/0264-9381/30/15/155018
Abstract
We modify the time dependent Schrödinger-Newton equation by using a potential for a solid sphere suggested by Jääskeläinen (Jääskeläinen 2012 Phys. Rev. A 86 052105) as well as a hollow-sphere potential. Compared to our recent paper (Giulini and Großardt 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.
9 pages, 5 figures. This second version was supplemented by an analysis how the separation of the N-particle SN equation leads to the considered centre-of-mass equation, as well as a considereation of a hollow-sphere potential in addition to the solid sphere considered previously
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